DS0701EN-3-3-1-Clustering-k-means-py-v2.0.ipynb

{
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   "source": [
    "<a href=\"https://cognitiveclass.ai\"><img src = \"https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork/labs_v1/IDSNlogo.png\" width = 400> </a>\n",
    "\n",
    "<h1 align=center><font size = 5><em>k</em>-means Clustering</font></h1>\n"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "## Introduction\n",
    "\n",
    "There are many models for clustering out there. In this lab, we will be presenting the model that is considered the one of the simplest model among them. Despite its simplicity, _k_-means is vastly used for clustering in many data science applications, especially useful if you need to quickly discover insights from unlabeled data.\n",
    "\n",
    "Some real-world applications of _k_-means include:\n",
    "\n",
    "-   customer segmentation,\n",
    "-   understand what the visitors of a website are trying to accomplish,\n",
    "-   pattern recognition, and,\n",
    "-   data compression.\n",
    "\n",
    "In this lab, we will learn _k_-means clustering with 3 examples:\n",
    "\n",
    "-   _k_-means on a randomly generated dataset.\n",
    "-   Using _k_-means for customer segmentation.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
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   },
   "source": [
    "## Table of Contents\n",
    "\n",
    "1.  <a href=\"#item1\"><em>k</em>-means on a Randomly Generated Dataset</a>    \n",
    "2.  <a href=\"#item2\">Using <em>k</em> for Customer Segmentation</a> \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
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    }
   },
   "source": [
    "Before we start with the main lab content, let's download all the dependencies that we will need.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Libraries imported.\n"
     ]
    }
   ],
   "source": [
    "import random # library for random number generation\n",
    "import numpy as np # library for vectorized computation\n",
    "import pandas as pd # library to process data as dataframes\n",
    "\n",
    "import matplotlib.pyplot as plt # plotting library\n",
    "# backend for rendering plots within the browser\n",
    "%matplotlib inline \n",
    "\n",
    "from sklearn.cluster import KMeans \n",
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "print('Libraries imported.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "<a id='item1'></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "## 1. _k_-means on a Randomly Generated Dataset\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's first demonstrate how _k_-means works with an example of engineered datapoints. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
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    }
   },
   "source": [
    "#### 30 data points belonging to 2 different clusters (x1 is the first feature and x2 is the second feature)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Datapoints defined!\n"
     ]
    }
   ],
   "source": [
    "# data\n",
    "x1 = [-4.9, -3.5, 0, -4.5, -3, -1, -1.2, -4.5, -1.5, -4.5, -1, -2, -2.5, -2, -1.5, 4, 1.8, 2, 2.5, 3, 4, 2.25, 1, 0, 1, 2.5, 5, 2.8, 2, 2]\n",
    "x2 = [-3.5, -4, -3.5, -3, -2.9, -3, -2.6, -2.1, 0, -0.5, -0.8, -0.8, -1.5, -1.75, -1.75, 0, 0.8, 0.9, 1, 1, 1, 1.75, 2, 2.5, 2.5, 2.5, 2.5, 3, 6, 6.5]\n",
    "\n",
    "print('Datapoints defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Define a function that assigns each datapoint to a cluster\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "assign_members function defined!\n"
     ]
    }
   ],
   "source": [
    "colors_map = np.array(['b', 'r'])\n",
    "def assign_members(x1, x2, centers):\n",
    "    compare_to_first_center = np.sqrt(np.square(np.array(x1) - centers[0][0]) + np.square(np.array(x2) - centers[0][1]))\n",
    "    compare_to_second_center = np.sqrt(np.square(np.array(x1) - centers[1][0]) + np.square(np.array(x2) - centers[1][1]))\n",
    "    class_of_points = compare_to_first_center > compare_to_second_center\n",
    "    colors = colors_map[class_of_points + 1 - 1]\n",
    "    return colors, class_of_points\n",
    "\n",
    "print('assign_members function defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Define a function that updates the centroid of each cluster\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "assign_members function defined!\n"
     ]
    }
   ],
   "source": [
    "# update means\n",
    "def update_centers(x1, x2, class_of_points):\n",
    "    center1 = [np.mean(np.array(x1)[~class_of_points]), np.mean(np.array(x2)[~class_of_points])]\n",
    "    center2 = [np.mean(np.array(x1)[class_of_points]), np.mean(np.array(x2)[class_of_points])]\n",
    "    return [center1, center2]\n",
    "\n",
    "print('assign_members function defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Define a function that plots the data points along with the cluster centroids\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "plot_points function defined!\n"
     ]
    }
   ],
   "source": [
    "def plot_points(centroids=None, colors='g', figure_title=None):\n",
    "    # plot the figure\n",
    "    fig = plt.figure(figsize=(15, 10))  # create a figure object\n",
    "    ax = fig.add_subplot(1, 1, 1)\n",
    "    \n",
    "    centroid_colors = ['bx', 'rx']\n",
    "    if centroids:\n",
    "        for (i, centroid) in enumerate(centroids):\n",
    "            ax.plot(centroid[0], centroid[1], centroid_colors[i], markeredgewidth=5, markersize=20)\n",
    "    plt.scatter(x1, x2, s=500, c=colors)\n",
    "    \n",
    "    # define the ticks\n",
    "    xticks = np.linspace(-6, 8, 15, endpoint=True)\n",
    "    yticks = np.linspace(-6, 6, 13, endpoint=True)\n",
    "\n",
    "    # fix the horizontal axis\n",
    "    ax.set_xticks(xticks)\n",
    "    ax.set_yticks(yticks)\n",
    "\n",
    "    # add tick labels\n",
    "    xlabels = xticks\n",
    "    ax.set_xticklabels(xlabels)\n",
    "    ylabels = yticks\n",
    "    ax.set_yticklabels(ylabels)\n",
    "\n",
    "    # style the ticks\n",
    "    ax.xaxis.set_ticks_position('bottom')\n",
    "    ax.yaxis.set_ticks_position('left')\n",
    "    ax.tick_params('both', length=2, width=1, which='major', labelsize=15)\n",
    "    \n",
    "    # add labels to axes\n",
    "    ax.set_xlabel('x1', fontsize=20)\n",
    "    ax.set_ylabel('x2', fontsize=20)\n",
    "    \n",
    "    # add title to figure\n",
    "    ax.set_title(figure_title, fontsize=24)\n",
    "\n",
    "    plt.show()\n",
    "\n",
    "print('plot_points function defined!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Initialize _k_-means - plot data points\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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    }
   },
   "outputs": [
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FVVhD4+6nJN1V/PVjxWs9VLzuXI6Z2e+b2QtLXk9WbOOfFs/5D3cfW0IYH5P0DAVbmLyv5Pi7FIxIeL4e3+7lCcxsrZk9beZWctf5pcfNLLmEeACgctydGzdu3LhFdJP0CgVz80pvEwp6gkqP5ST9Tpk6XqBgftfMudOSxmaVby85PyNpcNb5Z0quc5WkoeLvW+a43l0lZU8Xzx2StLnknJeWnPNoMb4hSZ+cVVenpG+WnJsv1jkxK/63zyp3qHj8qhU+/r6cehT0wrqkG+a47+kKhiLP1D2poJdy5vdRSZeWqfevS84bL3lsX7+E2DpL/n6u4AuDR0p+/46k5y3weLQv9nrFcs2SHiyW/cQc98cVbDfjClZqtZL79s16bH4wz+29K/hbv2PWc+rmec4dLzkvV3xOTpcc+29JP7OEa7+z5LXwpHKSfqF4f0HSS+e4f2hW7OVuT3q9cuPGjVs13ujJBIAIufvtkn5K0nsl3aYg+ZOkpyj4oPs1BQuF/Ky7/36ZOr6hoBfkfZIGFCQ1KQW9hLcpmH/2vZLzRyVtlvQXJccni+de7u4HFgj7dZJulvTtYpzPLd4e67F09y8p6H28q1h3a/GcZ5VW5O6Dki5WsE3EnQqSjPMVfLD/uoJeo8v1+LDgqufu/61gFdJdCv4eWQXDIf9Lwd/y+V5+y4p3K+jNelDBCrEzj+1Typw/1/UHFazm+nsKFt6ZcUzSBxQkOd9afIsW5SYFi1KNKPhbzo4pr2AO4iMK5oteW3J36WeNtSq/nc0ztYTHYQ7/oCDJmzHnUNmiKxX8Hf6fgpWWn6Igyfy6gh7457v718sXf1xxOPzMliXvm6ucu39W0i0KhuAeWMkWKQBQC8w99IXnAAAAAAANip5MAAAAAEBoSDIBAAAAAKEhyQQAAAAAhIYkEwAAAAAQGpJMAAAAAEBoEpUOoBo87WlP8/b29kqHAQAAAAAVcfjw4Yfc/elh1EWSKam9vV0DAwOVDgMAAAAAKsLMvhNWXQyXBQAAAACEhiQTAAAAABAakkwAAAAAQGhIMgEAAAAAoSHJBAAAAACEhiQTAAAAABAakkwAAAAAQGhIMgEAAAAAoUlUOgAAANAYcoWchsaHNJWbUiqRUntLuxIxPooAQL3hnR0AAETm9MRp7TuyT/uP7teJsRNKxpKKx+LKF/Kazk+rM9Opno092r5puzLpTKXDBQCEwNy90jFUXFdXlw8MDFQ6DAAA6sZ0flp9h/q0+97dMpkmc5Nlz00n0nK5dm7eqd4tvWqKN61ipAAASTKzw+7eFUZdzMkEAAChGj4zrA03b9Ce+/ZoKjc1b4IpSZO5SU3lprTnvj3acPMGDZ8ZXqVIAQBRIMkEAAChGT4zrK5bunRy7KQmshNLKjuRndDJsZPquqWLRBMAahhJJgAACMV0flrdB7s1OjmqvOeXVUfe8xqdHFX3wW5l89mQIwQArAaSTAAAEIq+Q30aOTuy7ARzRt7zGjk7or67+kKKDACwmkgyAQDAip2eOK3d9+5e8hDZciayE7rpnps0OjkaSn0AgNVDkgkAAFZs35F9MlmodZpMe4/sDbVOAED0SDIBAMCK7T+6f8FVZJdqMjepA0cPhFonACB6JJkAAGBFcoWcToydiKTuwdFB5Qq5SOoGAESDJBMAAKzI0PiQkrFkJHUnY0kNjQ9FUjcAIBokmQAAYEWmclOKx+KR1B2PxTWVm4qkbgBANEgyAQDAiqQSKeULK9u2pJx8Ia9UIhVJ3QCAaJBkAgCAFWlvaVe2kI2k7mwhq/aW9kjqBgBEgyQTAACsSCKW0Pq16yOpuzPTqUQsEUndAIBokGQCAIAV69nYo3QiHWqd6URaPRt7Qq0TABA9kkwAALBi2zdtl8tDrdPl2nbxtlDrBABEjyQTAACsWCad0c7NO9WcbA6lvuZks3ZdukuZdCaU+gAAq4ckEwAAhKJ3S69az2tV3Fa2nUnc4mo9r1W9l/eGFBkAYDWRZAIAgFA0xZvUv7VfmXRm2Ylm3OLKpDPq39qvZDwZcoQAgNVAkgkAAELTtqZNA1cPqGNtx5KHzjYnm9WxtkMDVw+obU1bRBECAKJGkgkAAELVtqZNX3vX17TxmRuXVG7jMzfqyLuOkGACQI0jyQQAAKEaPjOsTX+1SUd/eHRJ5Y7+8Kgu/quLNXxmOJrAAACrgiQTAACEZvjMsLpu6dLJsZOayE4sqexEdkInx06q65YuEk0AqGEkmQAAIBTT+Wl1H+zW6OSo8p5fVh15z2t0clTdB7uVzWdDjhAAsBpIMgEAQCj6DvVp5OzIshPMGXnPa+TsiPru6gspMgDAaqraJNPMEmb2W2b2X2b2qJl9z8w+uohya8xsv5mNmdkZM/u4mT11NWIGAKBRnZ44rd337l7yENlyJrITuumemzQ6ORpKfQCA1VO1Saak/ZLeI+kjkl4u6bckTS6i3K2Stkh6h6SrJL1Q0m1RBAgAAAL7juyTyUKt02Tae2RvqHUCAKKXqHQAczGzV0p6k6SfdfdvLqHcpZJeIelyd/9y8diIpPvMrNvd+yMJGACABrf/6H5N5hbzXfDiTeYmdeDoAV33outCrRcAEK1q7cncJulLS0kwi66Q9MOZBFOS3P2rkr5dvA8AAIQsV8jpxNiJSOoeHB1UrpCLpG4AQDSqNcm8RNK3zOzPzOxhM5sws380s3ULlLtQ0gNzHL+/eB8AAAjZ0PiQkrFkJHUnY0kNjQ9FUjcAIBrVmmQ+S8F8yo0Khs32SPo5Sf9kZvNN+FgraXyO42PF+57AzG4wMz916tQKwwUAoHFN5aYUj8UjqTsei2sqNxVJ3QCAaFRrkmnF25Xu/jl3v1XS2yT9vKSXLlDWy9T3pOPufoO727p1C3WQAgCAclKJlPKFlW1bUk6+kFcqkYqkbgBANKo1yRyT9A13P11y7G5J05IuWqBcyxzHWzR3DycAAFih9pZ2ZQvZSOrOFrJqb2mPpG4AQDSqNcm8v8xxk1SYp9wDmnvuZbm5mgAAYIUSsYTWr10fSd2dmU4lYlW5GD4AoIxqTTI/I+lnzOxpJcf+p6SkpP+cp9znJT3LzC6bOWBmXZI6ivcBAIAI9GzsUTqRDrXOdCKtno09odYJAIhetSaZt0g6LelfzezVZvYWSX8jqd/d7545ycwGzeyxXZrd/R5Jt0s6aGavM7PXSPq4pLvZIxMAgOhs37RdPueyCMvncm27eFuodQIAoleVSaa7P6xggZ8xSZ+U9OeS7pD0y7NOTUiavZzdmyTdJWmfpIOSDkt6bZTxAgDQ6DLpjHZu3qnmZHMo9TUnm7Xr0l3KpDOh1AcAWD3mHu63jrWoq6vLBwYGKh0GAAA1bTo/rQ03b9DJsZPK+/JXm41bXB1rO3R8x3El49HsvwkAeCIzO+zuXWHUVZU9mQAAoPY0xZvUv7VfmXRGcVvevplxiyuTzqh/az8JJgDUKJJMAAAQmrY1bRq4ekAdazuWPHS2OdmsjrUdGrh6QG1r2iKKEAAQNZJMAAAQqrY1bTq245iuueQapRKpBVedbU42K5VI6drN1+r4juMkmABQ45iTKeZkAgAQldHJUe09slcHjh7Q4OigkrGk4rG48oW8soWsOjOd6tnYo20Xb2ORHwCooDDnZJJkiiQTAIDVkCvkNDQ+pKnclFKJlNpb2pWIJSodFgBA4SaZvLMDAIBVkYgl1JnprHQYAICIMScTAAAAABAakkwAAAAAQGhIMgEAAAAAoSHJBAAAAACEhiQTAAAAABAakkwAAAAAQGhIMgEAAAAAoSHJBAAAAACEhiQTAAAAABAakkwAAAAAQGhIMgEAAAAAoSHJBAAAAACEhiQTAAAAABAakkwAAAAAQGhIMgEAAAAAoSHJBAAAAACEhiQTAAAAABAakkwAAAAAQGhIMgEAAAAAoSHJBAAAAACEhiQTAAAAABAakkwAAAAAQGhIMgEAAAAAoanKJNPMrjIzn+P27gXKrTGz/WY2ZmZnzOzjZvbU1YobAAAAABpdotIBLOClkiZLfj+5wPm3SvopSe+QVJD0IUm3SXpxFMEBAAAAAJ6o2pPM/3D3Hy/mRDO7VNIrJF3u7l8uHhuRdJ+Zdbt7f4RxAgAAAABUpcNll+kKST+cSTAlyd2/KunbxfsAAAAAABGr9iTzhJnlzOxBM3vXAudeKOmBOY7fX7wPAAAAABCxak0yvy/p/ZLeJunVku6T9Jdmdu08ZdZKGp/j+FjxvicxsxvMzE+dOrWyaAEAAAAAkqo0yXT32939Rnf/ort/3t23SvqUpPeZ2Xwx+xzHrMxxufsN7m7r1q0LIWoAAAAAQFUmmWX8g6SMpPYy949JapnjeIvm7uEEAAAAAISslpLMGXP2SiqYjznX3MtyczUBAAAAACGrpSTzlyQ9JOk7Ze7/vKRnmdllMwfMrEtSR/E+AAAAAEDEqnKfTDP7tKSvSvq6pLikNxZv73H3QvGcQUl3uft2SXL3e8zsdkkHzey9kgqSPiTpbvbIBAAAAIDVUZVJpqQHJW2T9BwFC/d8U9JWd/+bknMSChLQUm+S9FFJ+xT00n5G0nsijxYAAAAAIEky93JTHBtHV1eXDwwMVDoMAAAAAKgIMzvs7l1h1FVLczIBAAAAAFWOJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChqfok08xazezHZuZm9pQFzl1jZvvNbMzMzpjZx83sqasVKwAAAAA0uqpPMiX9kaQfL/LcWyVtkfQOSVdJeqGk26IICgAAAADwZIlKBzAfM3uxpFdK+n0FyeZ8514q6RWSLnf3LxePjUi6z8y63b0/6ngBAAAAoNFVbU+mmcUl/amk35P00CKKXCHphzMJpiS5+1clfbt4HwAAAAAgYlWbZEp6t6SUpD9f5PkXSnpgjuP3F+8DAAAAAESsKofLFhfr+YCkt7p71swWU2ytpPE5jo9J6ggvOgAAAABAOdXak/lBSfe5++eWWM7nOGZljsvMbjAzP3Xq1FLjAwAAAADMoeqSTDN7vqRtkvrMrMXMWiQ1F+9eY2bpMkXHJLXMcbxFc/dwyt1vcHdbt27dSkIGAAAAABRVXZIp6SclJSXdoyBxHNPj8zK/p2AxoLk8oLnnXpabqwkAAAAACFk1zsm8W9JLZh17paTflPQqSSfLlPu8pPeb2WXufrckmVmXgvmYn48oVgAAAABAiapLMt39IUmHSo+ZWXvxn19x9x8Xjw1KusvdtxfL3WNmt0s6aGbvlVSQ9CFJd7NHJgAAAACsjmocLrtYCUnxWcfeJOkuSfskHZR0WNJrVzkuAAAAAGhY5j7nwqsNpaurywcGBiodBgAAAABUhJkddveuMOqq5Z5MAAAAAECVIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEJpEpQMAAACoBblCTkPjQ5rKTSmVSKm9pV2JGB+lAGA23hkBAADKOD1xWvuO7NP+o/t1YuyEkrGk4rG48oW8pvPT6sx0qmdjj7Zv2q5MOlPpcAGgKpi7VzqGiuvq6vKBgYFKhwEAAKrEdH5afYf6tPve3TKZJnOTZc9NJ9JyuXZu3qneLb1qijetYqQAEA4zO+zuXWHUxZxMAACAEsNnhrXh5g3ac98eTeWm5k0wJWkyN6mp3JT23LdHG27eoOEzw6sUKQBUJ5JMAACAouEzw+q6pUsnx05qIjuxpLIT2QmdHDuprlu6SDQBNDSSTAAAAAVDZLsPdmt0clR5zy+rjrznNTo5qu6D3crmsyFHCAC1oSqTTDN7vZn9u5mdNrMpM3vQzN5nZvNOcjCzNWa238zGzOyMmX3czJ66WnEDAIDa1XeoTyNnR5adYM7Ie14jZ0fUd1dfSJEBQG2pyiRT0lMl3SnpHZKukLRP0vWSdi9Q7lZJW4rlrpL0Qkm3RRQjAACoE6cnTmv3vbuXPES2nInshG665yaNTo6GUh8A1JKq3MLE3f9q1qE7zex8Sb9qZr/mcyyJa2aXSnqFpMvd/cvFYyOS7jOzbnfvjzxwAABQk/Yd2SeThVqnybT3yF5d96LrQq0XAKpdtfZkzuW0pPmGy14h6YczCaYkuftXJX27eB8AAMCc9h/dv+Aqsks1mZvUgaMHQq0TAGpBVfZkzjCzuKRzJG2S9B5JfzFXL2bRhZIemOP4/cX7AAAAniRXyOnE2IlI6h4cHVSukFMiVtUfuQAgVNXek/lI8fYVSXdJmm+8yVpJ43McHyveBwAA8CRD40NKxpKR1J2MJTU0PhRJ3QBQrao9yXyRpBdL2iXpSkl/tsD5c/VyWpnjMrMbzMxPnTq1oiABAEDtmspNKR6LR1J3PBbXVG4qkroBoFpVdZLp7l9z97vdfbeC4bK/Ymbry5w+JqlljuMtmruHU+5+g7vbunXrQogWAADUolQipXxhZduWlJMv5JVKpCKpGwCqVVUnmbN8rfjzJ8rc/4DmnntZbq4mAACA2lvalS1kI6k7W8iqvaU9kroBoFrVUpL5P4o/v13m/s9LepaZXTZzwMy6JHUU7wMAAHiSRCyh9WvLDZRamc5MJ4v+AGg4VZlkmtkXzOy9ZnaFmb3czPok3STpVnc/UTxn0Mz2zpRx93sk3S7poJm9zsxeI+njku5mj0wAADCfno09SifSodaZTqTVs7En1DoBoBZUZZIp6T8kXSXp7yV9StKrJf22pLeVnJOQNHuW/psUrEK7T9JBSYclvTbiWAEAQI3bvmm7fO51ApfN5dp28bZQ6wSAWlCV4zfc/f2S3r/AOe1zHBuX1FO8AQAALEomndHOzTu15749mshOrLi+5mSzrt18rTLpTAjRAUBtqdaeTAAAgFXVu6VXree1Km4r284kbnG1nteq3st7Q4oMAGoLSSYAAICkpniT+rf2K5POLDvRjFtcmXRG/Vv7lYwnQ44QAGpDVQ6XBQA0rlwhp6HxIU3lppRKpNTe0l63q3M2UlsraSmPc9uaNg1cPaDug90aOTuypKGzzclmtZ7Xqv6t/Wpb0xZW+KhSvH6B8nglAAAq7vTEae07sk/7j+7XibETSsaSisfiyhfyms5PqzPTqZ6NPdq+aXvNz3FrpLZW0koe57Y1bTq245j6DvVp9727ZTJN5ibLXqs52ayCF3Tt5mvVe3kvPZh1jNcvsDjmHu5KarWoq6vLBwYGKh0GADSc6fz0oj/IpxNpuVw7N+9U75ZeNcWbVjHSlWuktlZS2I/z6OSo9h7ZqwNHD2hwdPAJSUW2kH0sqdh28TaSijrG6xeNwMwOu3tXKHWRZJJkAkAlDJ8ZbpghiY3U1kqK+nFmeGRj4vWLRkGSGTKSTABYXcNnhtV1S5dGJ0eV9/ySy88srjJw9UDVf3hrpLZWEo8zosDzCo0kzCST1WUBAKtqOj+t7oPdy/7QJkl5z2t0clTdB7uVzWdDjjA8jdTWSuJxRhR4XgHLR5IJAFhVfYf6NHJ2ZNkf2mbkPa+RsyPqu6svpMjC10htrSQeZ0SB5xWwfAyXFcNlAWC1nJ44rQs+eoGmclOh1ZlKpDSyc6TqFl1ppLZWEo8zosDzCo2I4bIAgJq078g+mSzUOk2mvUf2hlpnGBqprZXE44wo8LwCVoYkEwCwavYf3T/v0v/LMZmb1IGjB0KtMwyN1NZK4nFGFHheAStDkgkAWBW5Qk4nxk5EUvfg6KByhVwkdS9HI7W1knicEQWeV8DKkWQCAFbF0PiQkrFkJHUnY0kNjQ9FUvdyNFJbK4nHGVHgeQWsHEkmAGBVTOWmFI/FI6k7HouHukDHSjVSWyuJxxlR4HkFrBxJJgBgVaQSKeULK9sKoJx8Ia9UIhVJ3cvRSG2tJB5nRIHnFbByJJkAgFXR3tKubCGazcizhazaW9ojqXs5GqmtlcTjjCjwvAJWjiQTALAqErGE1q9dH0ndnZlOJWKJSOpejkZqayXxOCMKPK+AlSPJBACsmp6NPUon0qHWmU6k1bOxJ9Q6w9BIba0kHmdEgecVsDIkmQCAVbN903a5PNQ6Xa5tF28Ltc4wNFJbK4nHGVHgeQWsDEkmAGDVZNIZ7dy8U83J5lDqa042a9elu5RJZ0KpL0yN1NZK4nFGFHheAStj7uF+S1OLurq6fGBgoNJhAEBDmM5Pa8PNG3Ry7KTyvvwVHOMWV8faDh3fcVzJeDR72q1UI7W1knicEQWeV2g0ZnbY3bvCqIueTADAqmqKN6l/a78y6Yzitry96OIWVyadUf/W/qr+0NZIba0kHmdEgecVsHwkmQCAVde2pk0DVw+oY23HkoejNSeb1bG2QwNXD6htTVtEEYankdpaSTzOiALPK2B5SDIBABXRtqZNx3Yc0zWXXKNUIrXgSo7NyWalEildu/laHd9xvKY+tLWtadPX3vU1bXzmxiWV2/jMjTryriM11dZKaqTnFFYPzytg6ZiTKeZkAkCljU6Oau+RvTpw9IAGRweVjCUVj8WVL+SVLWTVmelUz8Yebbt4W00unDF8ZljdB7s1cnZEE9mJRZdrTjar9bxW9W/t54PqEtX7cwqVwfMK9SzMOZkkmSLJBIBqkivkNDQ+pKnclFKJlNpb2mt68/LhM8PquqVLo5Ojy1o8ZGZOF0Pulq/enlOoDjyvUG9IMkNGkgkAiAKrUwIAagWrywIAUAP6DvVp5OzIihJMScp7XiNnR9R3V19IkQEAEJ2qTDLN7A1m9i9mNmJmPzazw2b25kWUW2Nm+81szMzOmNnHzeypqxEzAAClTk+c1u57dy9pDuZ8JrITuumemzQ6ORpKfQAARKUqk0xJOyX9WNK1kn5R0p2S/s7Mfm2BcrdK2iLpHZKukvRCSbdFFSQAAOXsO7JPJgu1TpNp75G9odYJAEDYqnV28qvd/aGS379kZusUJJ9/OlcBM7tU0iskXe7uXy4eG5F0n5l1u3t/1EEDADBj/9H9msxNhlrnZG5SB44e0HUvui7UegEACFNV9mTOSjBnHJH0jHmKXSHphzMJZrGer0r6dvE+AABWRa6Q04mxE5HUPTg6qFwhF0ndAACEoSqTzDJeJOmb89x/oaQH5jh+f/E+AABWxdD4kJKxaFaBTcaSGhofiqTuapYr5DQ4OqhjPzpGog0AVa5ah8s+gZm9TNKVkrbNc9paSeNzHB+T1FGm3hsk9T772c9eYYQAADxuKjeleCweSd3xWFxTualI6q42pydOa9+Rfdp/dL9OjJ14wsb30/npxza+375pOxvfA0AVqfqeTDNrl/R3kv7Z3Q8scPpcm35ameNy9xvc3datW7eiGAEAKJVKpJQvrGzbknLyhbxSiVQkdVeL6fy0rr/jel3w0QvUe6hX9z90v6bz03ok+4gefvRhPZJ9RNlCVvc/dL96D/WqdXerrr/jek3npysdOgBAVZ5kmllG0uclDUt66wKnj0lqmeN4i+bu4QQAIBLtLe3KFrKR1J0tZNXe0h5J3dVg+MywNty8QXvu26Op3NSCiydN5iY1lZvSnvv2aMPNGzR8ZniVIgUAlFO1SaaZNUv6jKQmSb/g7o8sUOQBzT33stxcTQAAIpGIJbR+7fpI6u7MdCoRq4nZLks2fGZYXbd06eTYySXvLzqRndDJsZPquqWLRBMAKqwqk0wzS0j6e0k/KekKd//RIop9XtKzzOyyknq6FMzH/HwkgQIAUEbPxh6lE+lQ60wn0urZ2BNqndViOj+t7oPdGp0cVd6XN9Q473mNTo6q+2C3svloepIBAAuryiRT0s2SXiXpA5IyZra55HaOJJnZoJk9tiO1u98j6XZJB83sdWb2Gkkfl3Q3e2QCAFbb9k3b5XMvCbBsLte2i+dbA6929R3q08jZkWUnmDPyntfI2RH13dUXUmQAgKWq1iTz5cWffyzpnlm3maVgE5JmL933Jkl3Sdon6aCkw5JeG3WwAADMlklntHPzTjUnm0OprznZrF2X7qrLVVRPT5zW7nt3L3mIbDkT2QnddM9NGp0cDaU+AMDSVGWS6e7t7m5lbkMl51w1q9y4u/e4e4u7n+/ub3H3hyrRBgAAerf0qvW8VsVtZduZxC2u1vNa1Xt5b0iRVZd9R/bJZKHWaTLtPbJ34RMBAKGryiQTAIB60BRvUv/WfmXSmWUnmnGLK5POqH9rv5LxZMgRVof9R/cvuIrsUk3mJnXg6IFQ6wQALA5JJgAAEWpb06aBqwfUsbZjyUNnm5PN6ljboYGrB9S2pi2iCCsrV8jpxNiJSOoeHB1UrpCLpG4AQHkkmQAARKxtTZuO7Timay65RqlEasFVZ5uTzUolUrp287U6vuN43SaYkjQ0PqRkLJoe2mQsqaHxoUjqBgCUV58bbQEAUGWa4k364Ms+qF0v2qW9R/bqwNEDGhwdVDKWVDwWV76QV7aQVWemUz0be7Tt4m11ucjPbFO5KcVjK5uzWk48FtdUbiqSugEA5ZFkAgCwijLpjK570XW67kXXKVfIaWh8SFO5KaUSKbW3tCsRa6z/NacSKeULK9u2pJx8Ia9UIhVJ3QCA8hrr/2QAAFSRRCyhzkxnpcOoqPaWdmUL2Ujqzhayam9pj6RuAEB5zMkEAAAVk4gltH7t+kjq7sx0NlzPMABUA5JMAABQUT0bexZcDGmp0om0ejb2hFonAGBxSDIBAEBFbd+0XS4PtU6Xa9vF20KtEwCwOCSZAACgojLpjHZu3rnkfUTLaU42a9eluxpidV4AqEYkmQAAoOJ6t/Sq9bxWxW1l25nELa7W81rVe3lvSJEBAJaKJBMAAFRcU7xJ/Vv7lUlnlp1oxi2uTDqj/q39SsaTIUcIAFgskkwAAFAV2ta0aeDqAXWs7Vjy0NnmZLM61nZo4OoBta1piyhCAMBikGQCAICq0bamTcd2HNM1l1yjVCK14KqzzclmpRIpXbv5Wh3fcZwEEwCqgLmHu5pbLerq6vKBgYFKhwEAAEqMTo5q75G9OnD0gAZHB5WMJRWPxZUv5JUtZNWZ6VTPxh5tu3gbi/wAwAqZ2WF37wqlLpJMkkwAAKpdrpDT0PiQpnJTSiVSam9pVyKWqHRYAFA3wkwyeXcGAABVLxFLqDPTWekwAACLwJxMAAAAAEBoSDIBAAAAAKEhyQQAAAAAhIYkEwAAAAAQGpJMAAAAAEBoWF0WAADUtUptf9Jo2640WnsBlMcrHwAA1J3TE6e178g+7T+6XyfGTigZSyoeiytfyGs6P63OTKd6NvZo+6btyqQzNX/dSmm09gJYHHP3SsdQcV1dXT4wMFDpMAAAwApN56fVd6hPu+/dLZNpMjdZ9tx0Ii2Xa+fmnerd0qumeFPNXbdSGq29QCMws8Pu3hVKXSSZJJkAANSD4TPD6j7YrZGzI5rITiy6XHOyWa3ntap/a7/a1rTVzHUrpdHaCzQKksyQkWQCABC9KOfsDZ8ZVtctXRqdHFXe80suH7e4MumMBq4eWFICVKnrVkqjtRdoJCSZISPJBAAgGqsxZ286P60NN2/QybGTy0p8ZsQtro61HTq+47iS8WTVXrdSGq29QKMJM8lkCxMAABC66fy0rr/jel3w0QvUe6hX9z90v6bz03ok+4gefvRhPZJ9RNlCVvc/dL96D/WqdXerrr/jek3np5d8rb5DfRo5O7KixEeS8p7XyNkR9d3VV9XXrZRGay+A5avKnkwz65R0naTNkjZI+oq7b1lEuTWS9kh6jYIE+jOS3uPup+crR08mAADhWc05e6cnTuuCj16gqdzUcsN9klQipZGdI/P2rFbqupXSaO0FGlEj9GQ+X9KrJH2reFusWyVtkfQOSVdJeqGk28INDQAAlDMzZ+/k2MklJZiSNJGd0Mmxk+q6pUvDZ4YXVWbfkX0y2XJCLctk2ntkb1Vet1Iarb0AVqZak8x/dffnuPsbJB1fTAEzu1TSKyS93d0/7e7/JOmtki4zs+4IYwUAoCHlCjkNjg7q2I+OaXB0UBPZCXUf7F72ojBSMJRydHJU3Qe7lc1nFzx//9H9826fsRyTuUkdOHqgKq9bKY3WXgArE86SbiFz98Iyil0h6Yfu/uWSer5qZt8u3tcfVnwAADSq+Rbymem5dK1sKk7pnL0bX3pj2fNyhZxOjJ1Y0bXKGRwdVK6Qm3P120pdt1Iarb0AVq5aezKX40JJD8xx/P7ifQAAYJkWs5CPF/8Lw0R2Qjfdc5NGJ0fLnjM0PqRkLJrVSZOxpIbGh6rqupXSaO0FsHL1lGSulTQ+x/Gx4n1PYmY3mJmfOnUqyrgAAKhpw2eGteHmDdpz3x5N5aZCHzZZzkJz9qZyU4rH4pFcOx6Ll13kplLXrZRGay+AlaunJFPSnF+fWpnjcvcb3N3WrVsXbVQAANSolSzks1ILzdlLJVLKF1a2nUY5+UJeqUSqqq5bKY3WXgArV09J5pikljmOt2juHk4AADCP6fz0ihfyWamZOXtzaW9pV7aw8OJAy5EtZNXe0l5V162URmsvgJWrpyTzAc0997LcXE0AADCPvkN9Gjk7UrEEU5p/zl4iltD6tesjuW5nprPsYjSVum6lNFp7AaxcPSWZn5f0LDO7bOaAmXVJ6ijeBwAAFun0xGntvnf3qg+RnW2hOXs9G3uUTqRDvWY6kVbPxp55z6nUdSul0doLYGWqMsk0s2Yze72ZvV5Sq6Snz/xuZs3FcwbN7LHVANz9Hkm3SzpoZq8zs9dI+riku92d7UsAAFiCfUf2yWSVDmPBOXvbN20PbUXbGS7Xtou3zXtOpa5bKY3WXgArU5VJpqRnSPr74m2zpItKfn9G8ZyEpNlLnb1J0l2S9kk6KOmwpNeuQrwAANSV/Uf3r9oqsvNZaM5eJp3Rzs071ZxsDuV6zclm7bp0lzLpzLznVeq6ldJo7QWwMuYe7rdStairq8sHBgYqHQYAAFUhV8jp3N8/V9P56UqHoouefpGO7zg+7znT+WltuHmDTo6dXNH80bjF1bG2Q8d3HFcyvvC+kJW6bqU0WnuBRmNmh929K4y6qrUnEwAAVMjQ+JCSscp/+F/snL2meJP6t/Yrk84obsvbzzFucWXSGfVv7V904lOp61ZKo7UXwPKRZAIAgCeYyk0pHlteEhGmpczZa1vTpoGrB9SxtmPJQzqbk83qWNuhgasH1LambUllK3XdSmm09gJYHpJMAADwBKlESvlC5bYtkZY3Z69tTZuO7Timay65RqlEasHVUJuTzUolUrp287U6vuP4shOfSl23UhqtvQCWjjmZYk4mAAClKj0nM4w5e6OTo9p7ZK8OHD2gwdFBJWNJxWNx5Qt5ZQtZdWY61bOxR9su3hbq4jOVum6lNFp7gXoW5pzMRSeZZnaxpC2ScpK+6O4PljnvSklXunvNrElNkgkAwBNd9OcX6f6H7l/1687M2QtzSGWukNPQ+JCmclNKJVJqb2lXIpYIpe5qvG6lNFp7gXoTZpK5qFe+mX1E0rUlh9zMbpa0y92zs07fKOntkmomyQQAAE/Us7FHvYd6V3Ubk+Zks1rPa1X/1v5Qh1QmYgl1ZjpDq6/ar1spjdZeAOUtOCfTzF4raaeks5I+JukvJP23pF+V9EUzC2fDJAAAUDW2b9ou1+pMqWHOHgDUl8X0ZP6KpClJl8wMkTWz35a0V9LrJX3GzF7l7lPRhQkAAFZTJp3Rzs07tee+PZrITqy4PpMpZjGlEinm7AFAnVtMkrlJ0j+WzsF097OSftnMdku6RtK/mtn/dvdHowkTAACstt4tvfr7b/69To6dVN6Xv9rszEI+//nu/9TI2RHm7AFAnVvMFiZPkfSdue5w952SbpL0Mkm3mVlTiLEBAIAKaoo3qX9rvzLpjOK2vH0zZxby6d/ar3Qyrc5MpzY8Y4M6M50kmABQpxaTZH5f0rPK3enu10n6Y0mvkPRpSSSaAADUibY1bRq4ekAdazvUnFzaMgzNyWZ1rO0IdaVYAED1W0ySeb+ky+c7wd2vVbAg0C9I+vUQ4gIAAFWibU2bju04pmsuuUapRErpRHre81nIBwAa24L7ZJrZrynoqbzc3b+ywLn/V9J2Se7uyxtXUwHskwkAwOKMTo5q75G9OnD0gAZHB5WMJVnIBwDqwGrvk/lpSeskPXWhE939nWb2PUntK4wLAABUoUw6o+tedJ2ue9F1yhVyGhofYiEfAMATLPh/Anc/Jem3F1uhu/eZGf+HAQCgziViCXVmOisdBgCgyixmTuZjzOwWM0stcE67pLtXEhQAAAAAoDYtKcmU9A5JXzWzC+e608xeL+mIpBeuNDAAAAAAQO1ZapL5QUkXSRows56Zg2bWZGY3S7pVUl7Sa8MLEQAAAABQK5aUZLr7+xXsh3lW0sfM7G/MrEvSVyW9W9K/S9ro7v8SeqQAAAAAgKq31J5Mufsdkn5WUr+kt0i6T9LzJd2oYJuT74UaIQAAAACgZix3FdgfS/pvSVb8/YykL7t7IZSoAAAAAAA1ack9mWb2s5K+JunNkm5XMEy2SdIXzOyDZrbkOgEAAAAA9WFJPZlm9quS/qhY7nfc/UPF43cqWPTntyRtMbM3u/tw2MECQCWx8TwAlMd7JIAZS33l/6mkYUlvdvd7Zg66+3+Z2WZJN0n6VQXbmDw1tCgBoEJOT5zWviP7tP/ofp0YO6FkLKl4LK58Ia/p/LQ6M53q2dij7Zu2K5POVDpcAFhVvEcCmIu5++JPNvsnSdvcfWyec14jaa+710yS2dXV5QMDA5UOA0AVmc5Pq+9Qn3bfu1sm02Rusuy56URaLtfOzTvVu6VXTfGmVYwUAFYf75FA/TGzw+7eFUpdS0kyF12p2XPc/buhVxwRkkwApYbPDKv7YLdGzo5oIjux6HLNyWa1nteq/q39alvTFmGEAFA5vEcC9SnMJDOSRXpqKcEEgFLDZ4bVdUuXTo6dXNKHJ0mayE7o5NhJdd3SpeEzTEsHUH94jwSwGKwECwBF0/lpdR/s1ujkqPKeX1Ydec9rdHJU3Qe7lc1nQ44QACqH90gAi1W1SaaZXWRmd5jZhJmdMrPfM7P4IsqtMbP9ZjZmZmfM7ONmVjPzQwFUTt+hPo2cHVn2h6cZec9r5OyI+u7qCykyAKg83iMBLFYkczJXyszWSjou6ZuSPiRpvYKVaz/q7u9boOwXJP2UpPdKKhTL/9DdX1yuDHMyAZyeOK0LPnqBpnJTodWZSqQ0snOEFRUB1DzeI4H6V/VzMkPwbklpSa9z939z97+U1Cdpp5mdX66QmV0q6RWS3u7un3b3f5L0VkmXmVn3agQOoDbtO7JPJgu1TpNp75G9odYJAJXAeySApajWJPMKSbe7+8Mlxz6pIPG8fIFyP3T3L88ccPevSvp28T4AmNP+o/vnXYJ/OSZzkzpw9ECodQJAJfAeCWApqjXJvFDSA6UH3H1Y0kTxvkWXK7p/gXIAGliukNOJsROR1D04OqhcIRdJ3QCwGniPBLBU1ZpkrpU0PsfxseJ9YZcD0MCGxoeUjCUjqTsZS2pofCiSugFgNfAeCWCpqjXJlKS5ViSyMseXVc7MbjAzP3Xq1DLCA1AvpnJTiscWXLx6WeKxeKgLZQDAauM9EsBSVWuSOSapZY7jazR3T+VC5VrmKufuN7i7rVu3bqnxAagjqURK+cLKluQvJ1/IK5VIRVI3AKwG3iMBLFW1JpkPaNYcSjN7jqRzNfecy7LlisrN1QQAtbe0K1uIZlPwbCGr9pb2SOoGgNXAeySAparWJPPzkl5hZueVHHujpElJdy1Q7llmdtnMATPrktRRvA8AniQRS2j92vWR1N2Z6VQiloikbgBYDbxHAliqak0y/1LSo5L+0cy6zexqSTdI2l26rYmZDZrZYxssufs9km6XdNDMXmdmr5H0cUl3u3v/ajYAQG3p2dijdCIdap3pRFo9G3tCrRMAKoH3SABLUZVJpruPSXqZpLikf5XUJ+mjknpnnZoonlPqTQp6O/dJOijpsKTXRhkvgNq3fdN2+YLrii2Ny7Xt4m2h1gkAlcB7JIClqMokU5Lc/Zvu/lJ3T7v7s939/e6en3VOu7tfNevYuLv3uHuLu5/v7m9x94dWNXgANSeTzmjn5p1qTjaHUl9zslm7Lt2lTDoTSn0AUEm8RwJYiqpNMgFgtfVu6VXrea2K28qW6o9bXK3ntar38tmDLwCgdvEeCWCxSDIBoKgp3qT+rf3KpDPL/hAVt7gy6Yz6t/YrGY9m83IAqATeIwEsFkkmIpcr5DQ4OqhjPzqmwdFB5Qq5SocElNW2pk0DVw+oY23HkoeFNSeb1bG2QwNXD6htTVtEEQJA5fAeCWAxzD3cSdy1qKurywcGBiodRl05PXFa+47s0/6j+3Vi7ISSsaTisbjyhbym89PqzHSqZ2OPtm/aznwMVKXp/LT6DvVp9727ZTJN5ibLntucbFbBC9p16S71Xt7Lt/MA6h7vkUD9MbPD7t4VSl0kmSSZYVrK/3TSibRcrp2bd6p3S6+a4k2rGCmwOKOTo9p7ZK8OHD2gwdHBJ3xhki1kH/vCZNvF2/jCBEDD4T0SqB8kmSEjyQzH8JlhdR/s1sjZEU1kJxZdrjnZrNbzWtW/tZ/hM6hquUJOQ+NDmspNKZVIqb2lnU3EAaCI90igtpFkhowkc+WGzwyr65YujU6OKv/EnWYWZWYhAOZpAAAAAKsvzCSThX+wYtP5aXUf7F52gilJec9rdHJU3Qe7lc1nQ44QAAAAwGohycSK9R3q08jZkWUnmDPyntfI2RH13dUXUmQAAAAAVhtJJlbk9MRp7b5395LmYM5nIjuhm+65SaOTo6HUBwAAAGB1kWRiRfYd2SeThVqnybT3yN5Q6wQAAACwOkgysSL7j+6fd5uS5ZjMTerA0QOh1gkAAABgdZBkYtlyhZxOjJ2IpO7B0UHlCrlI6gYAAAAQHZJMLNvQ+JCSsWQkdSdjSQ2ND0VSNwAAAIDosEMulm0qN6V4LB5J3fFYXFO5qUjqRu1rtA2/G629AACgtvEpBcuWSqSUL6xs25Jy8oW8UolUJHWjNp2eOK19R/Zp/9H9OjF2QslYUvFYXPlCXtP5aXVmOtWzsUfbN21XJp2pdLgr1mjtBQAA9cPcvdIxVFxXV5cPDAxUOoyakyvkdO7vn6vp/HTodTfFm/TI7zxCbw00nZ9W36E+7b53t0w270JT6URaLtfOzTvVu6VXTfGmVYw0HI3WXgAAUB3M7LC7d4VRF3MysWyJWELr166PpO7OTCcJJjR8Zlgbbt6gPfft0VRuasGVjCdzk5rKTWnPfXu04eYNGj4zvEqRhqPR2gsAAOoTSSZWpGdjj9KJdKh1phNp9WzsCbVO1J7hM8PquqVLJ8dOaiI7saSyE9kJnRw7qa5bumom8Wq09gIAgPpFkokV2b5pu1zhDrl2ubZdvC3UOlFbpvPT6j7YrdHJUeV9efN+857X6OSoug92K5vPhhxhuBqtvQAAoL6RZGJFMumMdm7eqeZkcyj1NSebtevSXSxk0uD6DvVp5OzIshOuGXnPa+TsiPru6gspsmg0WnsBAEB9Y+EfsfDPSk3np7Xh5g06OXZyRR+S4xZXx9oOHd9xXMl4NPtvovqdnjitCz56Qahb2KQSKY3sHKnKLy8arb0AAKA6sfAPqkpTvEn9W/uVSWcUt+Xtmxm3uDLpjPq39pNgNrh9R/bJZKHWaTLtPbI31DrD0mjtBQAA9Y8kE6FoW9OmgasH1LG2Y8lDZ5uTzepY26GBqwfUtqYtoghRK/Yf3b/gqqpLNZmb1IGjB0KtMyyN1l4AAFD/SDIRmrY1bTq245iuueQapRKpBVedbU42K5VI6drN1+r4juMkmFCukNOJsROR1D04OqhcIRdJ3cvVaO0FAACNgSQToWqKN+mDL/ugRnaOqO8lfbro6RepKd6kc5Pn6vxzzte5yXPVFG/SRU+/SH1b+jSyc0Q3vvRGhshCkjQ0PqRkLJrnQjKW1ND4UCR1L1ejtRcAADQGdrtHJDLpjK570XW67kXXKVfIaWh8SFO5KaUSKbW3tCsR46mHJ5vKTSkeW9683oXEY/FQF9cJQ6O1FwAANAY+6SNyiVhCnZnOSoeBGpBKpJQvrGwbj3LyhbxSiVQkdS9Xo7UXAAA0BobLAqga7S3tyhaykdSdLWTV3tIeSd3L1WjtBQAAjaEqk0wz22FmnzWz02bmZrZlCWWvNLNvmNmUmX3TzN4YXaQAwpSIJbR+7fpI6u7MdFbdMO1Gay8AAGgMVZlkStoqKSPp9qUUMrPLJH1a0p2SrpD0WUmfMLOXhx4hgEj0bOxZcGXipUon0urZ2BNqnWFptPYCAID6Z+5e6RiexMxi7l4wsw2SviHpJe5+aBHlbpeUdPeXlhz7nKTz3f2ycuW6urp8YGAghMgBrNTo5Khad7eGumhNKpHSyM4RZdKZ0OoMS6O1FwAAVCczO+zuXWHUVZU9me5eWGoZMztH0kskfWrWXZ+UdKmZrQkjNgDRyqQz2rl5p5qTzaHU15xs1q5Ld1VtwtVo7QUAAPWvKpPMZVovKSnpgVnH71fQzuetekQAlqV3S69az2tV3Fa2vUfc4mo9r1W9l/eGFFk0Gq29AACgvtVTkrm2+HN81vGxWfcDqHJN8Sb1b+1XJp1ZduIVt7gy6Yz6t/YrGU+GHGG4Gq29AACgvlU0ybRAouQWxq7ksyeZWpnjMrMbzMxPnToVwmUBhKltTZsGrh5Qx9qOJQ8lbU42q2NthwauHlDbmraIIgxXo7UXAADUr0r3ZF4uKVtyu2MFdc30WLbMOj7z+/jsAu5+g7vbunXrVnBZAFFpW9OmYzuO6ZpLrlEqkVpwFdbmZLNSiZSu3Xytju84XnMJV6O1FwAA1KeKri5rZudJ+qmSQ2fd/cGS+xe9umxx4Z+zkn7N3f+q5PjbJB2QlHH3M3OVZXVZoPqNTo5q75G9OnD0gAZHB5WMJRWPxZUv5JUtZNWZ6VTPxh5tu3hbXSx602jtBQAAlRXm6rJVuYXJjGVuYRJ39+6SY5+R1MIWJkD9yBVyGhof0lRuSqlESu0t7UrEEpUOKzKN1l4AALD6wkwyq/JTipl1SWqX9JziocvN7GmShtx9oHjOVkn7JK139+8Uz/uApENmtkfSbZJeVby9ctWCBxC5RCyhzkxnpcNYNY3WXgAAUNuqMsmU9P9JenvJ7zcUf/61pKuK/45JiuvxhX3k7neb2esl3SjpVyR9W9Jb3P2LEccLAAAAAFCVD5ddLQyXBQAAANDIwhwuW+nVZQEAAAAAdaRah8sCqAEsSAMAAIDZ+DQIYElOT5zWviP7tP/ofp0YO/GErTWm89OPba2xfdN2ttYAAABoQMzJFHMygcWYzk+r71Cfdt+7WybTZG6y7LnpRFou187NO9W7pVdN8aZVjBQAAABLxZxMAKtq+MywNty8QXvu26Op3NS8CaYkTeYmNZWb0p779mjDzRs0fGZ4lSIFAABApZFkApjX8Jlhdd3SpZNjJzWRnVhS2YnshE6OnVTXLV0kmgAAAA2CJBNAWdP5aXUf7Nbo5Kjynl9WHXnPa3RyVN0Hu5XNZ0OOEAAAANWGJBNAWX2H+jRydmTZCeaMvOc1cnZEfXf1hRQZAAAAqhVJJoA5nZ44rd337l7yENlyJrITuumemzQ6ORpKfQAAAKhOJJkA5rTvyD6ZLNQ6Taa9R/aGWicAAACqC0kmgDntP7p/wVVkl2oyN6kDRw+EWicAAACqC0kmgCfJFXI6MXYikroHRweVK+QiqRsAAACVl6h0AACqz9D4kJKxpKbz06HXnYwlNTQ+pM5M57LryBVyGhof0lRuSqlESu0t7UrEon87q9R1AQAAagmfjgA8yVRuSvFYPJK647G4pnJTSy53euK09h3Zp/1H9+vE2AklY0nFY3HlC3lN56fVmelUz8Yebd+0XZl0JrR4K3VdAACAWmXuXukYKq6rq8sHBgYqHQZQNQZHB7XxLzfqkewjodd9bvJcHX330UX3ZE7np9V3qE+7790tk807TzSdSMvl2rl5p3q39Kop3rTsOCt1XQAAgEows8Pu3hVKXSSZJJnAbLlCTuf+/rmRDJdtijfpkd95ZFHDTIfPDKv7YLdGzo4saSuV5mSzWs9rVf/WfrWtaVtyjJW6LgAAQKWEmWSy8A+AJ0nEElq/dn0kdXdmOhedYHbd0qWTYyeXvFfnRHZCJ8dOquuWLg2fGV5S2UpdFwAAoF6QZAKYU8/GHqUT6VDrTCfS6tnYs+B50/lpdR/s1ujkqPKeX9a18p7X6OSoug92K5vPLqpMpa4LAABQT0gyAcxp+6btcoU7nN7l2nbxtgXP6zvUp5GzI8tO9GbkPa+RsyPqu6tvUedX6roAAAD1hCQTwJwy6Yx2bt6p5mRzKPU1J5u169JdC67AenritHbfu3vJQ1XLmchO6KZ7btLo5GhVXhcAAKDekGQCKKt3S69az2tV3Fa2nUnc4mo9r1W9l/cueO6+I/tkshVdbzaTae+RvVV5XQAAgHpDkgmgrKZ4k/q39iuTziw70YxbXJl0Rv1b+5WMJxc8f//R/fNuF7Ick7lJHTh6oCqvCwAAUG9IMgHMq21NmwauHlDH2o4lD51tTjarY22HBq4eWNSWHrlCTifGTiw31HkNjg4qV8hV1XUBAADqEUkmgAW1rWnTsR3HdM0l1yiVSC246mxzslmpRErXbr5Wx3ccX/SekUPjQ0rGFu7tXI5kLKmh8aGqui4AAEA9WnizOgBQMHT2gy/7oHa9aJf2HtmrA0cPaHB0UMlYUvFYXPlCXtlCVp2ZTvVs7NG2i7ctuMjPbFO5KcVjK5v/WU48FtdUbqqqrgsAAFCPSDIBLEkmndF1L7pO173oOuUKOQ2ND2kqN6VUIqX2lnYlYst/W0klUsoXVrZ9SDn5Ql6pRKqqrgsAAFCPSDIBLFsillBnpjO0+tpb2pUtZEOrr1S2kFV7S3tVXRcAAKAeMScTkcsVchocHdSxHx1jERTMKxFLaP3a9ZHU3ZnpLNvLWqnrAgAA1CM++SASpydOa9+Rfdp/dL9OjJ14wry96fz0Y/P2tm/avuR5e6hvPRt71HuoN9TtRNKJtHo29lTldQEAAOpN1fVkmtmzzeyPzOw/zezHZvZdM/trM1u3yPJXmtk3zGzKzL5pZm+MOmY8bjo/revvuF4XfPQC9R7q1f0P3a/p/LQeyT6ihx99WI9kH1G2kNX9D92v3kO9at3dquvvuF7T+elKh44qsX3Tdrk81Dpdrm0Xb6vK6wIAANSbqksyJf2cpNdK+oSkV0u6TtIlkv7dzJ4yX0Ezu0zSpyXdKekKSZ+V9Akze3mkEUOSNHxmWBtu3qA99+3RVG5qwR6hydykpnJT2nPfHm24eYOGzwyvUqSoZpl0Rjs371zynpzlNCebtevSXQv2mFfqugAAAPXG3MP95n6lzKxF0o/dPVdy7HmSHpR0lbv/9Txlb5eUdPeXlhz7nKTz3f2ycuW6urp8YGAgjPAb1vCZYXXd0qXRyVHlfemrdMYtrkw6o4GrBxa9pyLq13R+Whtu3qCTYyeX9XyaEbe4OtZ26PiO40rGF94Hs1LXBQAAqDQzO+zuXWHUVXU9me4+XppgFo99S9KEpGeUK2dm50h6iaRPzbrrk5IuNbM1YceKwHR+Wt0Hu5edYEpS3vManRxV98FuZfPRrPKJ2tEUb1L/1n5l0hnFbXn7V858cdG/tX/RiV6lrgsAAFBPqi7JnIuZ/YykZknfnOe09ZKSkh6Ydfx+Be18XjTRoe9Qn0bOjqyo50cKEs2RsyPqu6svpMhQy9rWtGng6gF1rO1Y8hDW5mSzOtZ2LKtnvFLXBQAAqBdVn2SaWUzSH0v6L0lfnOfUtcWf47OOj826v7TuG8zMT506tdIwG9bpidPafe9uTWQnQqlvIjuhm+65SaOTo6HUh9rWtqZNx3Yc0zWXXKNUIqV0Ij3v+c3JZqUSKV27+Vod33F82Ylepa4LAABQDyqaZFogUXKba3zaH0i6VNLb3H0x4yhnTzK1Msfl7je4u61bt6iFazGHfUf2yR57iMNhMu09sjfUOlG7muJN+uDLPqiRnSPqe0mfLnr6RWqKN+nc5Lk6/5zzdW7yXDXFm3TR0y9S35Y+jewc0Y0vvXHFQ1UrdV0AAIBaV9GFf8xsi4KVYGfc5e5bSu7fIenPJL3Z3W9doK6LJB2XtMXd7yo5/kJJX5X08+7+H3OVZeGf5bvozy/S/Q/dH369T79Ix3ccD71e1IdcIaeh8SFN5aaUSqTU3tKuRCz6bX8rdV0AAICohbnwT6U/HR2W9MKS38/O/MPMfknSn0r6jYUSzKITkrKSLpR0V8nxCyUVJH1rxdHiCXKFnE6MnYik7sHRQeUKOT7AY06JWEKdmc6GuS4AAEAtqehwWXc/6+4DJbcHpcd6OD8u6c/c/SOLrOtRBb2ib5h11xsl3ePuZ8KLHJI0ND6kZCyaoYHJWFJD40OR1A0AAAAgOlXXTWRmPy3pNgWrxN5qZptL7v5vdz9RPG+rpH2S1rv7d4r3f0DSITPbU6zjVcXbK1cl+AYzlZtSPLa8bR4WEo/FNZWbiqRuAAAAANGpuiRT0iWS1kj6WUn/b9Z9fy3pquK/Y5LienxhH7n73Wb2ekk3SvoVSd+W9BZ3n29VWixTKpFSvrCybUvKyRfySiVSkdQNAAAAIDpVl2S6+wFJB5Z7nrvfpqAXExFrb2lXtrCYBX+XLlvIqr2lPZK6AQAAAESn6vfJRPVKxBJav3Z9JHV3ZjpZ9AcAAACoQSSZWJGejT0LblS/VOlEWj0be0KtEwAAAMDqIMnEimzftF2ucPdadbm2Xbwt1DoBAAAArA6STKxIJp3Rzs071ZxsDqW+5mSzdl26S5l0JpT6AAAAAKwukkysWO+WXrWe16q4rWw7k7jF1Xpeq3ov7w0pMgAAAACrjSQTK9YUb1L/1n5l0pllJ5pxiyuTzqh/a7+S8WTIEQLVJVfIaXB0UMd+dEyDo4PKFXKVDgkAACA0LN+JULStadPA1QPqPtitkbMjmshOLLpsc7JZree1qn9rv9rWtEUYJVA5pydOa9+Rfdp/dL9OjJ1QMpZUPBZXvpDXdH5anZlO9Wzs0fZN2xkuDgAAapq5h7toSy3q6urygYGBSodRF6bz0+o71Kfd9+6WyTSZmyx7bnOyWQUvaNelu9R7eS89mKhLS3lNpBNpuVw7N+9U75ZeNcWbVjFSAADQyMzssLt3hVIXSSZJZhRGJ0e198heHTh6QIOjg0/otckWso/12my7eBu9Nqhbw2eG6d0HAAA1gSQzZCSZ0coVchoaH9JUbkqpRErtLe1KxBipjfo2fGZYXbd0aXRyVHnPL7n8zDzlgasHSDQBAEDkwkwy+aSPyCViCXVmOisdBrBqpvPT6j7YvewEU5Lyntfo5Ki6D3br+I7jDCcHAAA1g9VlASBkfYf6NHJ2ZNkJ5oy85zVydkR9d/WFFBkAAED0SDIBIESnJ05r9727lzQHcz4T2QnddM9NGp0cDaU+AACAqJFkAkCI9h3ZJ5OFWqfJtPfI3lDrBAAAiApJJgCEaP/R/fNuU7Ick7lJHTh6INQ6AQAAokKSCQAhyRVyOjF2IpK6B0cHlSvkIqkbAAAgTCSZABCSofEhJWPRrAKbjCU1ND4USd0AAABhIskEgJBM5aYUj8UjqTsei2sqNxVJ3QAAAGFin0ygDuQKOQ2ND2kqN6VUIqX2lnYlYry8V1sqkVK+sLJtS8rJF/JKJVKR1A0AABAmPoUCNer0xGntO7JP+4/u14mxE0rGkorH4soX8prOT6sz06mejT3avmm7MulMpcNtCO0t7coWspHUnS1k1d7SHkndAAAAYWK4LFBjpvPTuv6O63XBRy9Q76Fe3f/Q/ZrOT+uR7CN6+NGH9Uj2EWULWd3/0P3qPdSr1t2tuv6O6zWdn6506HUvEUto/dr1kdTdmemkdxoAANQEkkyghgyfGdaGmzdoz317NJWbWnCrjMncpKZyU9pz3x5tuHmDhs8Mr1KkjatnY4/SiXSodaYTafVs7Am1TgAAgKiQZCJyuUJOg6ODOvajY2zDsALDZ4bVdUuXTo6d1ER2YkllJ7ITOjl2Ul23dJFoRmz7pu1yeah1ulxb2rfwGgIAADWBsVeIBPMFwzWdn1b3wW6NTo4q78tbWCbveY1Ojqr7YLeO7ziuZDyarTYaXSad0c7NO7Xnvj1L/jJgLibTdH5aWw5s4TUEAABqgrmH+417Lerq6vKBgYFKh1EXpvPT6jvUp9337pbJ5h3OmU6k5XLt3LxTvVt61RRvWsVIa8v1d1wfWtLSnGzWtZuv1Y0vvTGEyDCX6fy0Nty8QSfHTi77S4HF4DUEAADCYmaH3b0rlLpIMkkywzJ8ZljdB7s1cnZkSclQc7JZree1qn9rv9rWtEUYYW06PXFaF3z0glD3SEwlUhrZOUIPWIRmhjevpPd5sXgNAQCAlQozyWROJkLBfMHo7DuyTyYLtU6Tae+RvaHWiSdqW9OmgasH1LG2Q83J5kivxWsIAABUE5JMrFjY8wWz+Wj2GaxV+4/uX3AV2aWazE3qwNEDodaJJ2tb06ZjO47pmkuuUSqRCn3V2VK8hgAAQLUgycSK9R3q08jZkRUPCcx7XiNnR9R3V19IkdW+XCGnE2MnIqmbVUpXR1O8SR982Qc1snNEfS/p00VPv0hN8SadmzxX559zvs5Nnqu4xUPpreY1BAAAqkHVzck0syZJfyupS9KzJf1Y0oCk97n74UWUv1LSjZJ+UtJJSX3ufut8ZZiTuXzMF4zW4OigNv7lRj2SfST0us9Nnquj7z6qzkxn6HVjfrlCTkPjQ8Fep9lJvXj/i/Vo/tHQ6uc1BAAAlqre52TGJbmkP5D0C5LeKalZ0pfMrGO+gmZ2maRPS7pT0hWSPivpE2b28kgjbmDMF4zWVG5K8Vg8krrjsXioXw5g8RKxhDozndrwjA06NHRIMQv3rZjXEAAAqKSqSzLdfdLd3+ju/9fdv+TutylINlOSXrNA8fdL+rK7v8fd73T36yR9QdLvRhp0A2O+YLRSiZTyhWhWJs0X8kolUpHUjcXjNQQAAOpN1SWZZTwiaUpS2U3gzOwcSS+R9KlZd31S0qVmtia68BoT8wWj197SrmwhmkVcsoWs2lvaI6kbi8NrCAAA1KOqTTItkDCzZ0n6sKS8pE/MU2S9pKSkB2Ydv19BO58XSaANbGh8SMlYMpK6k7GkhsaHIqm7liRiCa1fuz6SujsznUrEEpHUjcXhNQQAAOpR1SaZkn5TUlbS9yW9XdKr3P0785y/tvhzfNbxsVn3P8bMbjAzP3Xq1ApDbUzMF1wdPRt7Qt/6Ip1Iq2djT6h1Yul4DQEAgHpU0SSzpLdy5lb6aeuApBdK+kVJhyV9xswuWkS1s5fLtTLH5e43uLutW7duGdGD+YKrY/um7fInP31XxOXadvG2UOvE0vEaAgAA9ajSPZmXK+itnLndMXOHu//A3Qfc/V8lvVrSaUm/NU9dMz2WLbOOz/w+vvJwUYr5gqsjk85o5+adak42h1Jfc7JZuy7dxfYWVYDXEAAAqEeVTjIPK+itnLm9a66T3D0n6RuS5tvC5ISCRPXCWccvlFSQ9K2VBosnYr7g6und0qvW81oVt5UNrYxbXK3ntar38t6QIsNK8BoCAAD1qKJJprufLfZWztwenOs8M0tJ2iTp2/PU9aiC/THfMOuuN0q6x93PhBU3Hsd8wdXRFG9S/9Z+ZdKZZSeacYsrk86of2u/kvFoFpvB0vEaAgAA9abSPZlPYmZvNrODZvYWM9tiZm+W9G+Sni1pd8l5W80sZ2bPLSn+AUlbzGxPseyHJb1K0u+taiMaCPMFV0/bmjYNXD2gjrUdSx4625xsVsfaDg1cPaC2NW0RRYjl4DUEAADqTdUlmZIelPRUBQnl7ZL+QNIpSV3ufqTkvJikuB5f2Efufrek10vqLpb9RUlvcfcvrk7ojYf5gqurbU2bju04pmsuuUapRGrBHrDmZLNSiZSu3Xytju84ToJZhXgNAQCAemPu4X6DXou6urp8YGCg0mHUrOn8tDbcvEEnx04q78tfKTNucXWs7dDxHccZzrkIo5Oj2ntkrw4cPaDB0UElY0nFY3HlC3llC1l1ZjrVs7FH2y7eRsJR5XgNAQCASjOzw+7eFUpdJJkkmWEYPjOsrlu6NDo5uqwPyTPzBRnOuTy5Qk5D40Oayk0plUipvaWdRV9qDK8hAABQSSSZIWv0JDOsBGX4zLC6D3Zr5OyIJrITiy7XnGxW63mt6t/az4djNDReQwG+NAEAYPWRZIasEZPM0xOnte/IPu0/ul8nxk48YajldH76saGW2zdtX9JQy+n8tPoO9Wn3vbtlMk3mJsue25xsVsEL2nXpLvVe3svwPkCN+xqK6j0JAAAsDklmyBopyVzKB9h0Ii2Xa+fmnerd0qumeNOir8N8QWBlGuU1tFrvSQAAYH4kmSFrlCSzUkPxGPoGrEy9voYYHgwAQPUgyQxZIySZLCoCoJrwngQAQHUJM8msxn0yEbLp/LS6D3Yv+8OcJOU9r9HJUXUf7FY2nw05QgCNhPckAADqG0lmA+g71KeRsyMr2n9PCj7UjZwdUd9dfSFFBqAR8Z4EAEB9Y7is6nu47OmJ07rgoxdoKjcVWp2pREojO0dqerERAJXBexIAANWJ4bJYtH1H9slkodZpMu09sjfUOgE0Bt6TAACofySZdW7/0f3zbgmwHJO5SR04eiDUOgE0Bt6TAACofySZdSxXyOnE2IlI6h4cHVSukIukbgD1ifckAAAaA0lmHRsaH1Iyloyk7mQsqaHxoUjqBlCfeE8CAKAxkGTWsanclOKxeCR1x2PxUBfuAFD/eE8CAKAxkGTWsVQipXxhZVsElJMv5JVKpCKpG0B94j0JAIDGQJJZx9pb2pUtRLNJebaQVXtLeyR1A6hPvCcBANAYSDLrWCKW0Pq16yOpuzPTqUQsEUndAOoT70kAADQGksw617OxR+lEOtQ604m0ejb2hFongMbAexIAAPWPJLPObd+0XS4PtU6Xa9vF20KtE0Bj4D0JAID6R5JZ5zLpjHZu3qnmZHMo9TUnm7Xr0l3KpDOh1AegsfCeBABA/SPJbAC9W3rVel6r4rayrQPiFlfrea3qvbw3pMgANCLekwAAqG8kmQ2gKd6k/q39yqQzy/5QF7e4MumM+rf2KxmPZjN1AI2B9yQAAOobSWaDaFvTpoGrB9SxtmPJw9Sak83qWNuhgasH1LamLaII60OukNPg6KCO/eiYBkcHlSvkKh0SUJV4TwIAoH6Ze7gLMNSirq4uHxgYqHQYq2I6P62+Q33afe9umUyTucmy5zYnm1XwgnZduku9l/fSW1DG6YnT2ndkn/Yf3a8TYyeUjCUVj8WVL+Q1nZ9WZ6ZTPRt7tH3TduaNAbPwngQAQHUws8Pu3hVKXSSZjZVkzhidHNXeI3t14OgBDY4OPiExyhayjyVG2y7eRmJUxlI+HKcTablcOzfvVO+WXjXFm1YxUqD68Z4EAEBlkWSGrBGTzFK5Qk5D40Oayk0plUipvaWdTc0XMHxmWN0HuzVydkQT2YlFl2tONqv1vFb1b+1nmB9QBu9JAACsPpLMkDV6komlGT4zrK5bujQ6Oaq855dcfmbBEuaTAQAAoFqEmWSy8A+wBNP5aXUf7F52gilJec9rdHJU3Qe7lc1nQ44QAAAAqKyqTzLNbI+ZuZl9ZJHnX2lm3zCzKTP7ppm9MeoY0Tj6DvVp5OzIshPMGXnPa+TsiPru6gspMgAAAKA6VHWSaWYXSdom6eFFnn+ZpE9LulPSFZI+K+kTZvbyyIJEwzg9cVq77929pDmY85nITuime27S6ORoKPUBAAAA1aCqk0xJfyLpjyWNLfL890v6sru/x93vdPfrJH1B0u9GFSAax74j+2SyUOs0mfYe2RtqnQAAAEAlVW2SaWavl/TTkv5wkeefI+klkj41665PSrrUzNaEGyEazf6j++fdpmQ5JnOTOnD0QKh1AgAAAJVUlUmmmaUl3STpt9z9kUUWWy8pKemBWcfvV9DO54UXIRpNrpDTibETkdQ9ODqoXCEXSd0AAADAaqvKJFPSb0v6vqS/XUKZtcWf47OOj826H1iyofEhJWPJSOpOxpIaGh+KpG4AAABgtVU0ybRAouQWN7OfkPReSdf48jbxnF3GyhyXmd1gZn7q1KllXAaNZCo3pXgsHknd8VhcU7mpSOoGAAAAVlulezIvl5Qtud2hYA7m5yU9YGYtZtaiIM5zir+XW3llpseyZdbxmd/HZxdw9xvc3datW7eCJqARpBIp5Qsr27aknHwhr1QiFUndAAAAwGqrdJJ5WNILS27vkvRTkl6nIGmcuT1H0v9X/HdrmbpOKEhUL5x1/EJJBUnfCjl2NJD2lnZlC9lI6s4WsmpvaY+kbgAAAGC1JSp5cXc/K2mg9JiZvUPSU2ad+klJd0n6C0n/XaauR83sTklvkPRXJXe9UdI97n4mrLjReBKxhNavXa/7H7o/9Lo7M51KxCr6UgQAAABCU+mezCdx9wF3P1R6kzQl6bvF3x+VJDPbamY5M3tuSfEPSNpiZnvMbIuZfVjSqyT93qo3BHWnZ2OP0ol0qHWmE2n1bOwJtU4AAACgkqouyVyCmKS4Hl/YR+5+t6TXS+qWdLukX5T0Fnf/YkUiRF3Zvmm7/MnrR62Iy7Xt4m2h1gkAAABUUk0kme7e7u7vnXXsgLubuw/NOn6bu29w93Pc/UJ3/+SqBou6lUlntHPzTjUnm0OprznZrF2X7lImnQmlPgAAAKAa1ESSCVSL3i29aj2vVXFb2XYmcYur9bxW9V7eG1JkAAAAQHUgyQSWoCnepP6t/cqkM8tONOMWVyadUf/WfiXjyZAjBAAAACqLJBNYorY1bRq4ekAdazuWPHS2OdmsjrUdGrh6QG1r2iKKEAAAAKgckkxgGdrWtOnYjmO65pJrlEqkFlx1tjnZrFQipWs3X6vjO46TYAIAAKBumXu4q2XWoq6uLh8YGFj4RGAOo5Oj2ntkrw4cPaDB0UElY0nFY3HlC3llC1l1ZjrVs7FH2y7exiI/AAAAqEpmdtjdu0KpiySTJBPhyRVyGhof0lRuSqlESu0t7UrEEpUOCwAAAJhXmEkmn36BECViCXVmOisdBgAAAFAxzMkEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEJqqTDLNbMjMfNbtB4sse6WZfcPMpszsm2b2xqjjBQAAAAAEEpUOYB5/J+lPS36fXqiAmV0m6dOSbpb0HkmvkvQJMxtz9y9GEiUAAAAA4DHVnGR+393vXWKZ90v6sru/p/j7nWb2fEm/K4kkEwAAAAAiVpXDZZfDzM6R9BJJn5p11yclXWpma1Y/KgAAAABoLNWcZG4zs2kzO2Nm/2Bmz13g/PWSkpIemHX8fgXtfF4UQQIAAAAAHletw2X/WdK9kr4n6acl9Ur6ipm9wN3PlCmztvhzfNbxsVn3AwAAAAAiUtGeTAskSm5xSXL3X3f3T7j7V9z9FkmvkLROUs8iqvXZlylzXGZ2g5n5qVOnVtIMAAAAAEBRpYfLXi4pW3K7Y66T3P2YpAclbZqnrpkey5ZZx2d+H5+j3hvc3datW7fogAEAAAAA5VV6uOxhSS8s+f3sAuc/qTeyxAkFieqFku4qOX6hpIKkby0nQAAAAADA4lW0J9Pdz7r7QMntwbnOM7MNkn5KQVJarq5HJd0p6Q2z7nqjpHvmmcsJAAAAAAhJpXsyn8TMfkHSWyV9RtIpBT2R75M0LOlAyXlbJe2TtN7dv1M8/AFJh8xsj6TbJL2qeHvl6kQPAAAAAI2t6pJMSd+V9AxJexTMpzwt6QuSfsfdHy45LyYprscX9pG7321mr5d0o6RfkfRtSW9x9y+uSuQAAAAA0ODMfb5pjo2hq6vLBwYGKh0GAAAAAFSEmR12964w6qr06rIAAAAAgDpCkgkAAAAACA1JJgAAAAAgNCSZAAAAAIDQkGQCAAAAAEJDkgkAAAAACA1JJgAAAAAgNCSZAAAAAIDQkGQCAAAAAEJDkgkAAAAACA1JJgAAAAAgNCSZAAAAAIDQkGQCAAAAAEJDkgkAAAAACA1JJgAAAAAgNCSZAAAAAIDQkGQCAAAAAEJDkgkAAAAACA1JJgAAAAAgNCSZAAAAAIDQkGQCAAAAAEJDkgkAAAAACA1JJgAAAAAgNCSZAAAAAIDQkGQCAAAAAEJDkgkAAAAACA1JJgAAAAAgNCSZAAAAAIDQkGQCAAAAAEJTtUmmmb3AzD5jZmfM7KyZfdXMfm4R5a40s2+Y2ZSZfdPM3rga8QIAAAAAqjTJNLONkv5d0rikN0p6g6R/lZReoNxlkj4t6U5JV0j6rKRPmNnLIwwXAAAAAFBk7l7pGJ7EzO6VdNLd37LEcrdLSrr7S0uOfU7S+e5+WblyXV1dPjAwsOx4AQAAAKCWmdlhd+8Ko66q68k0s4skXSLpT5dY7hxJL5H0qVl3fVLSpWa2JpwIAQAAAADlVF2SqSDBlKS1ZvafZpYzsxNmtn2BcuslJSU9MOv4/Qra+byQ4wQAAAAAzJKodABzeFbx50FJH5b0H5JeL+ljZvZ9d/9cmXJriz/HZx0fm3X/Y8zsBkm9krJm9vUVxFxr1kk6VekgVlEjtbeR2irR3nrXSO1tpLZKtLfe0d761UhtlRqvvT8dVkUVnZNpZiYpXnLIJf2WpBslfcjdf6vk3C8pmG/54jJ1/Q9Jd0va6O7/WXL8JyV9S9LL3f3fypR1d7eVtqdW0N761UhtlWhvvWuk9jZSWyXaW+9ob/1qpLZKtHclKj1c9nJJ2ZLbHZJGi/fdOevcL0m6aJ66ZnosW2Ydn/l9fJ6yffOHWXdob/1qpLZKtLfeNVJ7G6mtEu2td7S3fjVSWyXau2yV7sk8T9JPlRw6K+nZChLMV7r77SXnvl/Se9z96WXqOqdY/tfc/a9Kjr9N0gFJGXc/E3ojAAAAAACPqbotTMysSdIPJH3M3X+j5PghSTl3756n7O2S4qXnmNlnJLXMt4UJAAAAACAcVbfwj7tPm9nvSfqwmY0rWPjnlyT9TwXDayVJZrZV0j5J6939O8XDH5B0yMz2SLpN0quKt1euVvwAAAAA0MgqPSdzTu6+R8ECQO+U9FlJ/0PS6939KyWnxRQsGmQl5e5WsBJtt6TbJf2ipLe4+xfN7AVm9hkzO2NmZ83sq2b2cwvFYmZXmtk3zGzKzL5pZm8Mq51RMbMhM/NZtx8ssmzNtbeUme0ptvcjizy/ZtprZk1m9ikzO2lmk2b232b2+cU8j4vla6atkmRmzzazPypuZfRjM/uumf21ma1bZPmaaq8kmdkOM/usmZ0uPo+3LKFszbTXzC4yszvMbMLMTpnZ75lZfBHl1pjZfjMbK76Xf9zMnroaMS+XmXWa2V8Vn8f54qicxZSrxba+wcz+xcxGiq/Zw2b25kWUq7m2SpKZvd7M/r34ep0yswfN7H3FEVnzlavJ9s5mZq3Fv7Ob2VMWOLfm2mxmV83xWcrN7N0LlKu5ts4ws4SZ/ZaZ/ZeZPWpm3zOzjy6iXM212cwOlfn7upldOk+5mmurJJnZm8zsa8XX7IiZHVzM56kVtdfd6/4maaOC+Zp/q6BX85WS3i/psgXKXSYpJ+lPJL1E0h9JKihYqbbi7Zon7iFJH5e0ueS2aRHlarK9JfFfJOlhSWckfaTe2ispLelWBV++vFTSayTdVWxvRz21tRjz/5Y0qOALp5dIepOCfXCHJD2l3tpbjPteSfdI+jsFq21vWWS5mmmvgu2kTknql/S/JL1b0iOSblxE2S9I+raC0S2vVbBy+Fcq3aYFYr5S0ncl/b2CfZsPLbJcLbZ15rn7y8X3qI8Un8e/Vm9tLcb9LkkfLMb8Ekm/KWlS0p/VY3vnaMffKZje5It4T665Nku6qti2l+iJn6eeUW9tLYn9b4rvz+9SMHrwrZJ+fxHlaq7NCj4zbp51+6Kk/5aUqLO2/mLxufxnkl5W/LsOSfqapFhUf9uKN3yVHtx7Jf3dMsrdLulLs459TtLdlW7TAnEPaRFJVr20tyTWfgVDphfV/lpvbzHep0h6VNLOemurgpWhE7OOPa/4Rvn2emtvMcZY8ecGLS3JrJn2SvptBauBn19y7DckTZQem6PcpcXH5H+WHPv54rHuSrdrob9p8d//oEUkmTXc1qfNcezvJH273to6T3s+qGA1e6vn9kp6sYLdAN6rBZLMWm2zHk8y502g66GtxThfqWCnh4uWWK5m2zyrHU3F5/Rf1FtbJX1S0uFZx2YSz5+Oqr1VOVw2TGZ2kaRLJP3pEsudo+Dbq0/NuuuTki41szXhRFgdar29ZvZ6BRvI/uEiz6/p9pZ4RNKUgjfHOdVqW9193N1zs459S0Ey8oxy5Wq1vZLk7oWllqnB9l4h6XZ3f7jk2CcV9NRfvkC5H7r7l2cOuPtXFXzDekUUgYZhOX9T1W5bH5rj8BHN83pVjbZ1Hqc1z/ux6qC9xaHtfyrp9yTN9TefrebbvAS13NZtCr6s/OYSy9Vym0u9UsFIm0/Mc06ttjWpYNRbqfHiz/n2xFxRe+s+yVSQYErS2uKcmJyZnTCz7QuUW6/gj/LArOP3K3jcnhdynGHbZmbTxfHT/2Bmz13g/Jptr5mlJd0k6bfc/ZFFFqvl9lpx3sSzJH1YUl7zvynWbFtnM7OfkdQsab7/CdZNexep1tp7oWbF6u7DCr48uHAp5YruX6BcLaqntr5I879ea76tZhY3s2Yzu0zSexT0hHiZ02u+vQqGuKck/fkiz6/1Np8ofnZ80MzetcC5tdzWSyR9y8z+zMwetmDO/D8uYt5eLbe51JskjUj6yjzn1Gpb90l6sZltNbPzzex5km6UdOcCXyqsqL2NkGQ+q/jzoIJ5iv9Lwfjij5nZq+Ypt7b4c3zW8bFZ91ejf5b0qwrGXV+noLv7Kwv0aNRye39b0vcVzLldrFpu728qGNLyfUlvl/Qqf3yF5bnUclsfY2YxSX8s6b8UzJsopy7auwS11t61enKsUhDvfLEut1wtqou2mtnLFMxJnS8ZqYe2PlK8fUXBPPnr5jm3pttbXPDjAwqmaGQXWaxW2/x9Bet3vE3SqyXdJ+kvzezaecrUalul4PPyVQrWMXmTpB5JPyfpn8xsvt6uWm6zJMnMmhX8jW+d5wsiqUbb6u6fVfC3vUVBj+aDChZPfd0CRVfU3qrbwmQlii+C0hUKXY8n0h9z9w8X/32nmf20guTkcwtUO/vJZmWOr7q52uvueXf/9ZJjXzGzf5d0VMEbxp4Fqq2p9kpqUzAn5KULvDGUU5XtLfe3Lf77gIL5p8+WtEPSZ8zsfy5iiEtVtlVasL0z/kDBFyaXL/LDTa23d6mqtr1zmCsmK3M8jHK1qKbbambtCuZj/rO7H1jg9Jpuq4Le2mYFc5V+V8HiGjvmOb+W2/tBSfe5+0KfnWaruTa7++0K5rvP+HxxesL7zOyP5xkKX3NtLbLi7Up3Py1JZvZ9BV+cvFTSHfOUrdU2z3i1gjUu5hsVNqPm2mpmL5H0lwq+qP+8pGdKukHBFwjdC3z+WHZ7660n83IFPTwztzsUTOKVpDtnnfslBStLlTPTC9Ay6/jM7+PLjDFMc7X3Sdz9mIJvLTbNU1ettvcPFbxgHjCzFjNrUfC8Pqf4e7lv36q9vWX/tu7+A3cfcPd/VfDGeFrBCqzlVHtbpQWey2a2Q0HvwNvd/b4F6qr59i5RLbS31JieHKskrdH8sZYr17JAuVpU0201s4yC9+VhBasYzqem2ypJ7v41d7/b3XcrGC77K2a2vszpNdteM3u+gnl7fSX/v20u3r2mOHVlLjXb5jn8g6SMpPYy99dyW8ckfWMmwSy6W9K0Fv683DLH8RZVf5tnvEnSoLsPLHBerbb1Jkn/4u6/6e6H3P1WBTsUbFEw2qScFbW3rnoyJR2W9MKS388q6O2ZiylY4r+cEwo+/F2o4FucGRcWy31r+WGGZq72zme+bx1qtb23SvpZPbnL//8r3p4j6Xtz1FXt7V3U39bdc2b2DUkd89RV7W2V5mmvmf2SgkUmfqP4xriQmm7vMtRCe0s9oFlzOczsOZLO1dxzP0rLvXiO4xdKui2s4KpEzba1OOzsMwoWv/mFRcyTr9m2lvG14s+fUPDanK2W2/uTCuZ/3zPHfd+TtFfSO+a4r5bbXE65z1O13Nb7JZ0zx/GFPi/XcptVnEp2hYI1LhZSq229ULN6ad39QTObVLCuQzkra2+ll9WN+qbHlyT+8KzjhyT1L1D29tnnKPifZ9VtC7BAOzYo2EPvPfXWXkldCr6JKb39QEHyuUXSOfXU3jnakJJ0UtLf1NvfthjjFgWr5/7xEsvVZHtLYl3OFiY10V4F0xRGJZ1Xcuy9WvwWJpeVHOtSlS8dP6sNS93CpKbaquCL688q2GfueYssU5Ntnac97yrGvr7e2ivpaXP8//YPi7FfIemn6q3Nc7Tlk8Xn95x7C9ZyW4vvw4+oZCui4t/4Ce2ppzYXY71KC2zlUettVfAFwidmHfvpYtxviKq9FW/4Kj241yjo7v8dBQv//KWCb2VeXHLOVgWJ2HNLjs1scL6n+EL7sKp0g/OSmH9BwbcV/0fBtga/omC1rJN64r50ddHeMo/BkGbtk1kP7ZX0ZgULWL2lGO+bFSw0MSnp4npqazHmn1YwHOOogjlPpRsmry85ry7aW4y7S9LrJV1bfBPvLf7eVS/tVbBYwPcl/ZukbklXS/qxpBtnnTcoae+sY18ovpe9TsFQnwdV/ZtgNxf/hq9X0AN0vOT35jpr6y3F5+179ORNzs+pp7aWxP1eBQnWyyX1FZ/Lnyw5p27aW+YxuEqz9pKslzZL+rSChfaukPS/Jf1Nsa2/Vm9tLcZ9voIh7vcomIrzFknflfRvs86rmzaXxH60zH110VZJv67gM8FNCv6/+3+KcX9b0rlRtbfiDV/FB3hn8cGclvQNSa+bdf/MG2X7rOOvkXRMwYb3D0h6U6XbskA7f0bB/K7/VjCE7gcKFopZV4/tLfMYDOnJSWbNt1fBnNrPFv+mjxbbeauk59dbW2e1Y67bgXprbzHmA43QXgXze76k4AuS7ytYrTI+65yh0nYXj7VI2q/gy4eHFSws87TVinuZbW2f53ncXmdtHWqUthbj/kDxNffjYuxfk/RrkpKzHpO6aG+Zx2Dm/ag0yayLNkv6fQUfqCeK71WHJb1t1jl10daS2DsVLIj5iIL5eAckra3XNivonc8q2AJvrvvroq0Khjz/iqSvF/+2Iwo+P3ZE2V4rVgAAAAAAwIrV2+qyAAAAAIAKIskEAAAAAISGJBMAAAAAEBqSTAAAAABAaEgyAQAAAAChIckEAAAAAISGJBMAAAAAEBqSTAAAqoSZbTezvzKz+8xswszczG6sdFwAACxFotIBAACAx9wkaY2kMUmnJK2vbDgAACwdPZkAAFSPN0lqd/eMJHowAQA1iSQTAICImNltxSGvvzbHfR8o3vexmWPu/gV3/87qRgkAQLhIMgEAiM42ScOS/sjMLp45aGYvk/Q7kr4p6T0Vig0AgEiQZAIAEBF3H5X0ZklxSbea2VPM7BmS/lbSo5J+2d0nKhkjAABhI8kEACBC7v7vkt4v6Scl/ZWCBPNZkt7j7scrGRsAAFFgdVkAAKL3IUlbJL2l+Psn3P1j5U8HAKB20ZMJAEDE3N0l/VPJoT0VCgUAgMiRZAIAEDEz+0lJH1Gw/2VB0sfMLFXZqAAAiAZJJgAAETKzcyTdKulcBftg/oGkF4jeTABAnSLJBAAgWh+RdLGkD7v7FyX1Svp/kt5lZr9c0cgAAIiABdNEAABA2MzsNQrmYt4n6TJ3zxWPP0fSUQUL8F3s7ieLx98h6bJi8U5J/0PS1yUdKR57wN3/cLXiBwBgOUgyAQCIgJm1KUgkYwoSyW/Puv9KSbdJ+g8FCei0mR2Q9PZ5qr3L3bdEES8AAGEhyQQAAAAAhIY5mQAAAACA0JBkAgAAAABCQ5IJAAAAAAgNSSYAAAAAIDQkmQAAAACA0JBkAgAAAABCQ5IJAAAAAAgNSSYAAAAAIDQkmQAAAACA0JBkAgAAAABC8/8DLyj0ILeyYmIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_points(figure_title='Scatter Plot of x2 vs x1')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Initialize _k_-means - randomly define clusters and add them to plot\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "centers = [[-2, 2], [2, -2]]\n",
    "plot_points(centers, figure_title='k-means Initialization')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Run _k_-means (4-iterations only)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 1 - Press Enter to update the members of each cluster\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 1 - Press Enter to update the centers\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 2 - Press Enter to update the members of each cluster\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 2 - Press Enter to update the centers\n"
     ]
    },
    {
     "data": {
      "image/png": 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xIg4DriI/Lw+wdBuZ9rwBXBoR+7SKsWOp/HDy7/qiNmW+T57nuSFweUSsUyrXEBGfJ2/PM5P2/aP085ul95u6UtmJ5F7+t5OTxPZ0+bynlKaxdOXmD0XERRHxv62HImJEROwQET8H/tXB40jSUpXeqNObN2/eynlj6eb1N7ZzbgXyvKtE/vD5IrnH7uk2140kD5NMrW4zyB8IWx/7XZtyk0rHz+miju8pPX5LnDdYuqH7M8AHSv9+up2yE1tdu5C8OuXT5P3uWq7ZpaPypfPfafXYi8l7QLauz/c7KNdyfu0Ozq/dck0Pn7OzW8V+HXipk9uXKvS6CnKP5rxWdW3ZqH4ub35d3ApMaFN+pdLxtmVntSl7Qgev50md1O3G0jVHt3Puplaxp7W83oFtu/u8trruY61eJy31X9Sq/B+Buh7WbyPglVYxZpEXu0nA48AX6eDvuZvP29Gt/l5S6bl6rU29HwbW7eJ3+3/kUQCpVL/Wz9srwEYdlD+szWNNJ//dtvR0ntve80teifiJVuUWsPT9Z1GpXU+X7u/Sm+e9dN03Ss9ly7VzWPb94KlK/M158+attm72ZEoatFIeQrcruYfkVfIWAGuVbq2vm5NSeg/w7tK1L5BXKh1G/uB3PnmI3Cd7WY/LgN3IvRWzyKuoPgOcSt6T8PlOyj4CvIs8tHQmsEqp/qt3VKadGN8A3gn8hfyBexT5g+hfgd1TSl/tpHg5tP6/aTwdrwi7Mrmu/S5lJwLrAycCt5FfQ6PIScODwG+AXVNKO6SUprYp/wp57t77ycNJXymVDeARcm/nPsD3Cq76QcAvgKdKj9fyeu9oPl+HUkq/BrYmv/5fLMWbydLhzT2eQ5tSegjYHPhtKeZQ8pcJp5ce6/We1rNN/HPIieyPgfvJz9XYUtzrgE8DW6aU/ttFqGml+pxBXjRnGHl1198Am5fa0d7jX0CeP3kl+YuqYeTe28+TF/dpd1GrlIcobwv8kqXvB3OBy4GdU9ervXbreU8pfYe8cvKZ5KQ+yF+yvUjupf0E0NdecEmDQKTU7vuZJEmSWikNYd4Z+FA3EjtJGrTsyZQkSZIkFcYkU5IkSZJUGJNMSZIkSVJhTDIlSZIkSYVx4R9JkiRJUmHqK12BarDCCiuktddeu9LVkCRJkqSKmDJlymsppRWLiGWSCay99tpMnjy50tWQJEmSpIqIiGeKiuWcTEmSJElSYUwyJUmSJEmFMcmUJEmSJBXGJFOSJEmSVBiTTEmSJElSYUwyJUmSJEmFMcmUJEmSJBXGfTIlSVK/SAnmzIFFi2DkSBg6tNI1kiSVgz2ZkiSpbF5/HU49FbbdFkaPhvHjYeWVobER1lkHjjwS/vWvnIBKkgYGezIlSVLhmpvhK1+Bs86CIUPy/baefhqeeQYuuwwmTIBzz4Xttuv3qkqSCmZPpiRJKtTdd8P668PZZ8O8ee0nmC1ahtA+/ji8853wxS/CkiX9V1dJUvFMMiVJUmHuuAN23hlefBHmzu1Z2blz4de/hiOOMNGUpFpmkilJkgrx0kuwxx4we3bvYzQ3w9/+BieeWFy9JEn9yyRTkiT1WUpw1FE9771sT3Mz/PCH8J//9D2WJKn/mWRKkqQ+u/FGuO02WLiwmHjz5sEnPlFMLElS/zLJlCRJffbDH3a+wE9PpZQXEHriieJiSpL6h0mmJEnqk+Zm+Oc/i9/rcvFiOO+8YmNKksrPJFOSJPXJffdBQ0PxcRcuzMNwJUm1xSRTkiT1yQMP5F7HcnjoofLElSSVj0mmJEnqkzlzilvwp60iVquVJPUvk0xJktQnw4ZBXV15Yg8dWp64kqTyMcmUJEl9ssEGOdEsh3XXLU9cSVL5mGRKkqQ+2WqrYrcvaTFkCOy0U/FxJUnlZZIpSZL6ZPx42Gij4uM2NMBBBxUfV5JUXiaZkiSpz447DkaNKjbmyivD9tsXG1OSVH4mmZIkqc8OPhhWWaW4eI2NcPrpEFFcTElS/zDJlCRJfTZ0KPz5z3mIa18NHw577QX779/3WJKk/meSKUmSCrH55vCzn+VeyN4aPjyvKHvOOUXVSpLU30wyJUlSYT78Yfj5z3OP5pAefsoYORI22wxuuw1Gjy5P/SRJ5WeSKUmSCnX00XDPPbDJJt3r1Rw2LCelJ50Et98O48aVu4aSpHIyyZQkSYUbMwZWWgkWLere9fX1eeEgF/qRpNpnkilJkgp15ZWwwQZw442wYEHX1y9YALNmwTHH5MV+5s4texUlSWVkkilJkgrzl7/AIYfA7Nnd78Vs0dwM110Hu+8O8+aVp36SpPIzyZQkSYV47DE44oi+9UTOnZvnc37608XVS5LUv0wyJUlSny1eDIceWkwP5Ny5cP75cMMNfY8lSep/VZtkRkR9RBwfEY9HxPyIeD4iTu9GubER8buImB4RMyPivIhYvj/qLEnSYHXFFfDEE7BkSTHx5s61N1OSalV9pSvQid8B7wROBB4B1gA26ka5C4G3AscAS4BTgMuBHctSS0mSxCmn5HmYRXr66Tx0dostio0rSSqvqkwyI2Iv4DBgs5TSQz0otx2wJ7BzSunm0rEXgDsiYveU0j/LUmFJkgaxN96AyZOLjzt/Plx0kUmmJNWaah0u+2Hg+p4kmCV7Ay+3JJgAKaU7gadK5yRJUsHuuQcaG4uPu3gx3HRT8XElSeVVrUnmNsBjEfGziHgjIpoj4tKImNBFuYnkobVtPVw6J0mSCvbww93bD7M3HnusPHElSeVTrUnmKsDRwObkYbMfArYCLouI6KTceGBGO8enl869SURMiog0derUPlZXkqTBa9683OtYDuVKXiVJ5VOtSWaUbgeklP6eUroQOBJ4O7BbF2VTB/GWOZ5SmpRSigkTuuoglSRJHWlogPoyrfIwfHh54kqSyqdak8zpwP0ppWmtjt0KLKDzFWanA+PaOT6O9ns4JUlSH220UfmSzIlOdpGkmlOtSebDHRwP8rYkHXmE9udedjRXU5Ik9dEWW+R9LYtWXw877VR8XElSeVVrknkF8LaIWKHVsZ2AocB9nZS7ClglInZoORARTcC6pXOSJKlgo0bBdtsVH3foUDjssOLjSpLKq1qTzDOBacDfImK/iDgC+APwz5TSrS0XRcQTEXFWy/2U0u3ANcDvI+KgiDgQOA+41T0yJUkqn+OOy8lmkTbYADbdtNiYkqTyq8okM6X0BnmBn+nABcDPgeuA97W5tB6oa3PsMOAm4Gzg98AU4D3lrK8kSYPdXnvluZl1bf9X7qWGBvjFL4qJJUnqX2Wapt93KaUngH26uGbtdo7NIG958qGyVEySJC1jyBC44ILc8zhnTt9iNTbChz8M229fTN0kSf2rKnsyJUlS7VlnHbjkkpwk9lZDA2y7LfzoR8XVS5LUv0wyJUlSYfbcE/72Nxg3DoYN61nZxkY48EC46qq86I8kqTaZZEqSpELtths8/jjsuy+MGNF1sjl6NKywQh5ue/75PU9OJUnVxSRTkiQVboUV4NJL4cEH4ZOfhHXXzb2To0bl2/DhMHZsTkjPPRdefBH226/StZYkFSFSSpWuQ8U1NTWlyZMnV7oakiQNaPPmwdSpsGhRTjBXXrnSNZIktYiIKSmlpiJiVe3qspIkaWAZMSL3aEqSBjaHy0qSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwVZlkRsTREZHauX28i3JjI+J3ETE9ImZGxHkRsXx/1VuSJEmSBrv6SlegC7sBc1vd/28X118IvBU4BlgCnAJcDuxYjspJkiRJkt6s2pPMu1JKs7tzYURsB+wJ7JxSurl07AXgjojYPaX0zzLWU5IkSZJElQ6X7aW9gZdbEkyAlNKdwFOlc5IkSZKkMqv2JPPJiFgUEY9GxMe6uHYi8Eg7xx8unZMkSZIklVm1JpkvAt8EjgT2A+4AfhURX+ikzHhgRjvHp5fOLSMiJkVEmjp1at9qK0mSJEkCqjTJTCldk1L6Tkrp2pTSVSmlo4CLgG9ERGd1Tu0ciw6Ok1KalFKKCRMmFFBrSZIkSVJVJpkduBhYDli7g/PTgXHtHB9H+z2ckiRJkqSC1VKS2aLdXknyfMz25l52NFdTkiRJklSwWkoy3wu8BjzTwfmrgFUiYoeWAxHRBKxbOidJkiRJKrOq3CczIi4B7gT+A9QBh5Zun00pLSld8wRwU0rpIwAppdsj4hrg9xHxJWAJcApwq3tkSpIkSVL/qMokE3gU+DCwBnnhnoeAo1JKf2h1TT05AW3tMOB04GxyL+0VwGfLXltJkiRJEgCRUkdTHAePpqamNHny5EpXQ5IkSZIqIiKmpJSaiohVS3MyJUmSJElVziRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhan6JDMiVouI2RGRImJUF9eOjYjfRcT0iJgZEedFxPL9VVdJkiRJGuyqPskEfgjM7ua1FwK7AMcARwNbA5eXo1KSJEmSpGXVV7oCnYmIHYG9gO+Rk83Ort0O2BPYOaV0c+nYC8AdEbF7Sumf5a6vJEmSJA12VduTGRF1wE+BbwOvdaPI3sDLLQkmQErpTuCp0jlJkiRJUplVbZIJfBwYAfy8m9dPBB5p5/jDpXOSJEmSpDKryuGypcV6TgI+kFJaGBHdKTYemNHO8enAusXVTpIkSZLUkWrtyfwucEdK6e89LJfaORYdHCciJkVEmjp1ak/rJ0mSJElqR9UlmRGxMfBh4MSIGBcR44DG0umxEdHQQdHpwLh2jo+j/R5OUkqTUkoxYcKEvlRZkiRJklRSdUkm8BZgKHA7OXGcztJ5mc+TFwNqzyO0P/eyo7makiRJkqSCVeOczFuBXdsc2ws4DtgH+G8H5a4CvhkRO6SUbgWIiCbyfMyrylRXSZIkSVIrVZdkppReA25sfSwi1i7985aU0uzSsSeAm1JKHymVuz0irgF+HxFfApYApwC3ukemJEmSJPWPahwu2131QF2bY4cBNwFnA78HpgDv6ed6SZIkSdKgFSm1u/DqoNLU1JQmT55c6WpIkiRJUkVExJSUUlMRsWq5J1OSJEmSVGVMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiSpI6+/DmecAbvvDiusAHV1+TZuHOywA5x0ErzwQqVrKUlVJVJKla5DxTU1NaXJkydXuhqSJKlavPEGfOELcP75MGQINDe3f93w4RABe+4Jv/oVrLJK/9ZTkgoSEVNSSk1FxLInU5IkqbWbb4b11ssJ5rx5HSeYAPPn52v+/nfYYAO4+OL+q6ckVSmTTEmSpBZXXQV77w2vvZaTx+5auBBmzYKjjoJf/7p89ZOkGmCSKUmSBPDAA3DwwZ33XHZl7lz44hfh2muLq5ck1RiTTEmSpIUL4ZBDcpLYV83N8P73w8yZfY8lSTWoKpPMiDg4Im6LiGkRMS8iHo2Ib0TEsC7KjY2I30XE9IiYGRHnRcTy/VVvSZJUo845B557DopaEHH2bPjud4uJJUk1piqTTGB54AbgGGBv4Gzg68CPuih3IbBLqdzRwNbA5WWqoyRJGghSgpNPhjlzios5b16emzl/fnExJalG1Fe6Au1JKbWdMX9DRIwBPhURn0nt7LsSEdsBewI7p5RuLh17AbgjInZPKf2z7BWXJEm156GH4KWXyhP7H/+Ad7+7PLElqUpVa09me6YBnQ2X3Rt4uSXBBEgp3Qk8VTonSZK0rDvvzHthFm3OHPj3v4uPK0lVrip7MltERB0wHNgS+Czwy/Z6MUsmAo+0c/zh0jlJkqRlTZ6c51AWbfFiuP324uNKUpWr6iQTmENOMgF+D3y5k2vHAzPaOT4dWLfYakmSpAHj9dfLF3vGjPLFlqQqVe3DZbcHdgT+DzgA+FkX17fXyxkdHCciJkVEmjp1ap8qKUmSatjw4V1f01vDOl0YX5IGpKpOMlNKd6eUbk0p/Yg8XPYTEbFeB5dPB8a1c3wc7fdwklKalFKKCRMmFFBbSZJUkzbZpHzJ4CablCeuJFWxqk4y27i79HOdDs4/QvtzLzuaqylJkgRNTTBiRPFxR46E7bcvPq4kVblaSjLfUfr5VAfnrwJWiYgdWg5ERBN5PuZVZa6bJEmqVdtsA0uWFB938WLYY4/i40pSlavKJDMiro6IL0XE3hGxR0ScCJwGXJhSerJ0zRMRcVZLmZTS7cA1wO8j4qCIOBA4D7jVPTIlSVKHGhrg6KNh6NBi4+6yC6y2WrExJakGVGWSCdwFHA38GbgI2A/4KnBkq2vqgbo25Q4DbgLOJq9GOwV4T5nrKkmSat1xxxU7L7OhAb773eLiSVINiY63nRw8mpqa0uTJkytdDUmSVElnnglf/CLMmdO3OI2N8KlPwQ9+UEy9JKkfRMSUlFJTEbGqtSdTkiSpfx17LBx4YE4Se2vEiLyQ0He+U1i1JKnW1Fe6ApIktTZtGsyalUcurrwy1LWdGDGApAQvvwzz5uW8ZsUVIaLStRqA5s+HV1/NC/EstxyMHt3+dRFw7rk5UfzTn6C5uWePM3IkvOMdcPnl7o850KUEr72We72HD89vVkPsu5Fa+NcgSaqohQvhz3+Gd74Txo+HCRPy1oLrr58/s2+2GXzvezlHGAjeeAN+9jPYeuvcvnXWye1dc00YMybnKL/7HcydW+ma1rjHH4fPfja/kEaPhre+FTbeGJZfHlZdFQ45BG66KScLrdXVwW9/m5PM8ePzk9SVhoZ83emnw9VX5/saeObNgz/+EXbaCcaNgzXWyH+8666bn/8tt4Qf/QimT690TaWKc04mzsmUpEpIKSeXH/84LFqUey870tCQd5g45pg8za0voxkrZdGinCyffHLu8Ohs2t+oUfnnySfDJz5hB0mPvPgifOhDOYFcvDh/i9GeiPxCWmUVOP98ePvbl71mzhw47zw49VR4+un8Qmz53BSRk46VVsrJ7Ec+kntJNfCkBGedlefrpgSzZ3d8bWNjfrP6/OfhxBPt0VZNKXJOpkkmJpmS1N+am+HQQ+H663s2IrGhIXcuXX01bLpp+epXtGefhT33zD970t6RI3NHyZVX5g44deGvf4X3vz8nf4sWdb9cQwN87nP5W4COxiu/8Qbcc09OYpcsycnlFlv4xAx0M2bAAQfAlCk9WxCqsTH3mF9zDay3XtmqJxXJJLNgJpmS1H+am2HnneGBB3Iu0BujR8Mtt+ShtNXumWfy0NjXX88daz01dCisvjrcdZf5TKcuvDD3YPZ2nHFjIxxxRF5h1omxApg5E7bZBp56ChYs6Hn5IUNg7Fi44w54y1uKr59UMFeXlSTVrKOP7luCCXlo7TvfWf1Tn+bPh912632CCXm05/PPw7vfnTvQ1I5774UPf7hvE1mbm/M8zJ/+tLBqqYalBO95Tx4m3ZsEE/If7IwZ+U2gp4tISTXOJFOS1G/+9rc89LMvCWaL2bPzfM5q9q1vwUsv9T7BbLFwIdx/P/zyl8XUa0BZsAAOPriYD/Fz5sBXvwpPPtn3WKpt554Ld96Zvynqi5Tyktlf/nIx9ZJqhMNlcbisJPWHJUvyCqovvFBczMZGuP12eNvbiotZlJdfhrXXLiahbjFqFLzyiouXvslZZ+X5lD2ZL9eZujrYf3+49NJi4qn2LFiQ59zOnFlczBEj4JFHYK21iospFczhspKkmnP99cV+ZoPcyXD66cXGLMqvf12euBdeWJ64NSmlvARvUQkm5G7nq67K2bwGp8svL35s+pIl8POfFxtTqmImmZKkfnHuuZ2v/N8bixfnbVCqcVDO735XbC8m5N/fb39bbMya9t//Fts13mLIkLxSrQans87qfE+l3liwAP7wh2JjSlXMJFOS1C9uv708cVPKa3NUk7lz82I95fCf/1RnUl0RkydDfX3xcZub8/LFGpzuvrs8cadNywsBSYOASaYkqV+UKxGsr4cHHyxP7N569NE8X7QcFiyA114rT+yac//9xXePtyhXoqHqNmdO+RLBhgZ46KHyxJaqjEmmJKnsFi/u+wqrHUmp+nYHaG4u31aL9fXV196KmTWrfN26fdkORbWrubk8veOQ3xT849UgYZIpSSq7IUPyrRwiYPjw8sTurREjypf7LF5cfe2tmJEjyxfbX/LgNGIELFpU3vjSIGCSKUkquwhYffXyxF68GDbcsDyxe2uDDcrXETZkCKy8cnli15yNNsr7upRDNe6Lo/IbPbp8r6m5c2HixPLElqqMSaYkqV9ss0154i5eDOuvX57YvTVqVPkSwY02Kt9Q3JrT1FSeLuOGBthxx+LjqjZstll54o4eDSusUJ7YUpUxyZQk9YsPfCB/xirSkCGw777lG4rbF4cfDsOGFRtz5Ej44AeLjVnT3vpWGD+++LgpwX77FR9XteGDHyy+N7O+Hg45pNiYUhWrwv+WJUkD0b77Fj/NraEBvvzlYmMW5VOfKj75XbIEjjqq2Jg1LSK/AIpcyjci92KusUZxMVVbDj20+B7yoUPh858vNqZUxUwyJUn9oq4OTjutuLVahg6FbbeFt7+9mHhFW2steP/7i1vno7ERjjsOxowpJt6A8ZGPFPtLGTECTj21uHiqPY2NcOKJxb1ZDR8O+++fe96lQcIkU5LUb448MieFRQwjHT4c/vCH6p6feMYZMHZs3+PU1cGaa8LXv973WAPOyJFw4YW5W7uvGhvh//7PRX+Uex3f8pZitjMZORJ+9au+x5FqiEmmJKnfRMDFF+eVZocO7X2cxkb4299g1VWLq1s5jBoF//hH3zra6urytMNrrinf9n01b6ed4Hvf69uw2cZG2HVXmDSpsGqphtXVwd//Diuu2Lc/vFGj4NprYdy4wqom1QKTTElSv1puObjzztxZ1NPRaMOG5Z7Bq66CXXYpS/UKt+mmcOutebXZng6dbWzMw24nT849merE5z+fx2M3NPS8e7uxEQ46CC67LCcXEuRvse66Ky9f3dMvMEaMgOWXhxtvhK22Kkv1pGpmkilJ6nfLLw933JGnPTU0dP35rb4+X7fXXvDEE7njqpZsummu9xFHwIjhSxhWt7DT60fULWDE8MSnPw0PP5wTTXXDxz8OU6bAJpvkbzC6SjZHj87felxwQR573ZfudQ1Mq60G//kPfOlLOXHsalj2sGH5uoMOgiefNMHUoGWSKUmqiLq6PP1t6tQ80nHixPwZf/To3Fs5Zky+v/LKeW2Xu++Gv/yldreZG7V4JmfNez+PMpHPLfkxq/McQ1nAGGYylhmMZib1LGQd/svX+D5PszanzP0swxbPrXTVa8uGG8J998HVV+fFVsaOzR/6x47Nt5Ej8/23vx3OPBNefNHtStS5oUPzN2LPPQcnnADrrZe/+Wr7ZjVhAnziE/Dgg3DeecVMyJZqVKRybGJcY5qamtLkyZMrXQ1JGvQWLIDHHoNZs/JntvXXHyBTme6+G/bYA2bPhvnz/3d4NiN5jA2Yz3AaaWYDHqOBeUvLNTTkrPqGG/IHW/XO1Knw/PN5D5jll8+/y2rcXFW1Y968/GY1Z05ehewtbyl+I2Cpn0XElJRSUyGxTDJNMiVJZXTPPXl87+zZvSs/ZEjOtO+6C9Zdt9CqSZLUosgk06/xJEkqlzfeWNqD2VtLlsCMGbDnnrmrV5KkKmeSKUlSuXz6031LMFssWZKHfJ54Yt9jSZJUZlWZZEbEIRHx14h4ISJmR8SUiDi8G+XGRsTvImJ6RMyMiPMiYvn+qLMkSW/y1FPw5z/nuVtFaG6GH/0o92pKklTFqjLJBL4IzAa+AOwP3ACcHxGf6aLchcAuwDHA0cDWwOXlqqQkSR36yU9yD2SRhgyBc84pNqYkSQWryoV/ImKFlNJrbY6dD2yXUlqngzLbAbcBO6eUbi4deztwB/CulNI/O3o8F/6RJBVutdXyENeibbll3gtSkqQCDfiFf9ommCX3ACt1Umxv4OWWBLMU507gqdI5SZL6xxtvwKuvlif2ww9DFX5BLElSi/pKV6AHtgce6uT8ROCRdo4/XDonSVL/eOKJvMflwoXFx04JXn4ZVlml+NjVJiW4/Xb4xz/gppvg6afzEOTx42G77fLWMPvvD42Nla6pJKmVmkgyI+KdwAHAhzu5bDwwo53j04F2NxaLiEnACauuumofayhJUivz50NEeWLX1eX4A1lKcMEF8PWvwyuv5PYuWrT0/DPPwL33wh//CMccAx/5CJx0EowZU7EqS5KWqsrhsq1FxNrA+cBfUkrndHF5e+OHooPjpJQmpZRiwoQJfaqjJElvMnJk+Ya0Llo0sHvuXnkl7y167LF5hd45c96cYLY2a1Y+f+aZsP76cN11/VtXSVK7qjrJjIjlgKuAZ4EPdHH5dGBcO8fH0X4PpyRJ5bHBBnnLkXIYPhxWWKE8sSvtuedgiy3y0Ng5c7pfbt68PAd2v/1y76YkqaKqNsmMiEbgCmAYsG9Kqav/bR6h/bmXHc3VlCSpPEaMgDXXLE/szTYr31DcSpo9G97xjjzftLdzWefOhY99DP7Z4YLykqR+UJVJZkTUA38G3gLsnVJ6pRvFrgJWiYgdWsVpIs/HvKosFZUkqSMf+Uhe/KdIo0bBRz9abMxq8bnP5d7IxYv7Fqe5GQ47DGbOLKZekqQeq8okE/gFsA9wErBcRGzb6jYcICKeiIizWgqklG4HrgF+HxEHRcSBwHnArZ3tkSlJUlkce2zx8zIj4OCDi41ZDaZMyQv9zJtXTLzZs+FrXysmliSpx6o1ydyj9PPHwO1tbi1LwdYDdW3KHQbcBJwN/B6YAryn3JWVJGkZK64IX/pScYv0jBwJp56ah+IOND/4QXEJJuTVaM85JyebkqR+F8kNnWlqakqTJ0+udDUkSQPNwoWwySbw5JN9GwY6bBi8/e1w880Dbz5mczMst1zx27KMGgU//zkcdVSxcSVpgIqIKSmlpiJiVWtPpiRJtW/oULj++tyrWd/LramHDYO11oK//W3gJZiQ97scPrz4uLNnw403Fh9XktQlk0xJkspptdVg8mTYaKM85LUnRo6EbbeFO++EcePKUr2Ku+ee3q8m25V//7s8cSVJnTLJlCSp3FZbDe6+G775zTxHc9Sozq8fPRrGjIEzzsi9cQM1wQR4/fVi52O2Nn16eeJKkjplkilJUn+oq4PjjoNXXsnJ4w475ERy6NC8mE99fZ6b+M53wpln5u08jjlmYA6RbW3IkPK1cYgfcySpEno5QUSSJPXKyJF5D82PfCRvcTJzZu7Ja2zMSedgs8Yaue3lWAl29dWLjylJ6pJJpiRJlRIxsIfCdsdWW5Un7pAhsNNO5YktSeqU40gkSVLlTJzY+5V3OzNyJOyxR9fXSZIKZ5IpSZIqp64OPvWp4rcxGTUqz2+VJPU7k0xJklRZn/50sb2ZI0fCt77lwj+SVCG++0qSpMpaZRU4/fSe7yPanro62Hhj+OhH+x5LktQrJpmSJKnyjjkmz6FsbOx9jJaFlP78Z3sxJamCfAeWJEmVFwEXXgh77tm7Hs3hw2GFFeC222DNNYuvnySp20wyJUlSdRg6FC65BE47LSeaw4Z1XSYiX/vud8Mjj8AGG5S/npKkTplkSpKk6hEBH/sYPPoofP7zMGYMjB795mG0Q4fm48OHw957w9//DhdfDMstV7FqS5KWipRSpetQcU1NTWny5MmVroYkSWpr4UJ44AGYPBmeeQYWLYLll4cttoCttoLx4ytdQ0kaECJiSkqpqYhYZdj9WJIkqSBDh+aEcostKl0TSVI3OVxWkiRJklQYk0xJkiRJUmFMMiVJkiRJhTHJlCRJkiQVxiRTkiRJklQYk0xJkiRJUmHcwkSSJA1MCxbA/ffDlCnw3HOweDGsuGLeDmXLLWHMmPI87ty5cN99+XFffBFSglVWyY+5xRbQ2Fiex62UGTNyW++5B6ZNg/p6WHvtvI/pJpvk+5IGFf/qJUnSwPLss3D66XDWWRABixZBc3M+N3w4jBgB8+bB3nvD8cfDNtsU87iPPAI//CH86U95f8+FC3PCCfkxhw3Lie8hh8BXvpITsFp2883w/e/DDTfk9s2dm9sHMHIkDBmSb5/4BHz2s7DqqpWtr6R+EymlSteh4pqamtLkyZMrXQ1JktQXS5bAT34CX/96TvAWLuz8+ghoaICDD4af/rT3PZsLFsC3vw0/+lH+9+LFnV9fV5cTzk9+Er773Zz41pLXX4djj4Wrr16avHdm+PCcdJ9xBnz4w/n3LqnqRMSUlFJTIbFMMk0yJUmqefPmwQEHwL/+BXPm9KzsiBGwwgq57Jpr9qzszJmw667w6KPdS7haa2zMw0pvvhmWX75nZSvl0Udhxx1zu1t6Lbtr5EjYZx84/3yH0EpVyCSzYCaZkiSV2fz5eX7kU0/lnr5x42CzzYoZQrlkSR76esstS4en9lRdHay0Up5XuPLK3Sszdy5svz08/HBuX28MGwbrrgt33QWjRvUuRn955pk8r3T69DzPtDcaG+Hd74YLLrBHU6oyRSaZri4rSZLKY9EiuOwy2G47GD0adtsNPvIR+OhH4bDDYJ11cg/i8cfnhXl664wzci9kbxNMyInva6/BkUd2P4E6/vjcs9fbBBNyb+DTT8PnP9/7GP1hyZI8rHjmzN4nmJB7e6+8Ev7wh+LqJqnq2JOJPZmSJBVuypS8wM2rr8Ls2Z1fO3x47tX6v/+DE07I8/e66+mnYeONez5UtSMjR8LZZ8P73tf5dZMnw0479S2xba2xMc9x3HHHYuIV7Re/yIsV9XQockdGjYInn8y9x5KqwoDvyYyI9SPi1xFxX0Qsjogbu1lubET8LiKmR8TMiDgvImpkkoMkSQPEj3+ck6Wnnuo6wYTcEzhvXl4RdvPN4ZVXuv9Yp53W9QI/PTFnTl44qKsv4U88Mde5KM3NOcGuRkuW5PYWlWBC7uX+1a+KiyepqlRlkglsDOwDPFa6ddeFwC7AMcDRwNbA5cVWTZIkATkxeuQReOCBPNw1pbzC6te+1rsevuZmePzxvKXItGldXz9vHpxzTrFJJuS9Le+6q+PzL78M//hH34aNtuf22/P2K9XmH/8orse2xbx5+cuIJUuKjSupKlRrkvm3lNIaKaVDgAe7UyAitgP2BD6YUrokpXQZ8AFgh4jYvYx1lSRp8HjySfjc5/KqqGPHwtvfDu94B0ycmLcD+fKX+zZ0deFCmDoV3v/+rpO4e+/N+zAWbf58+Oc/Oz5/yy3l2Xakvh5uvLH4uH111VXd65Huqfnz85cKkgacqkwyU0q9+Vprb+DllNLNreLcCTxVOidJknpr2jR473thk03gl7/MK40uWgSzZsEbb+TEcv78YnqmFiyAW2+F3/ym8+umTCm+FxNyu266qePzd9xRnqRr9uzcm1ltbrml+F5byF8QTJlSfFxJFVeVSWYvTQQeaef4w6VzkiSpN266CdZfP68KOm9eeRK7tubMgU98Iq/e2pGnny5+GGfr2B157LHyDfOsxp69F14oT9y5c/u2qrCkqjWQkszxwIx2jk8vnVtGREyKiDR16tRy1kuSpNp1/fWwzz4wY0bfturojSVL8lDcxzpYnqGcyW5nSWQ55xEuWlS+2L1Vrp0IlizJW8dIGnAGUpIJ0N67YHRwnJTSpJRSTJgwoby1kiSpFj33HBxwQHHbg/TGtGmw667tJ5orrZTnMZbDcst1fG7llcvzmFCdW3qMHVueuCNGdP57llSzBlKSOR0Y187xcbTfwylJkjqSUl58p8htOnpr6tT2E82ttsr7SxYtIvegdmS77fJ+mkUbMQJ22KH4uH21zTbliVtfD1tsUZ7YkipqICWZj9D+3MuO5mpKkqSO3HAD3H139QzfbC/RbGoqzxDeUaNgp506Pr/ttuUZQlpfnxPYarPbbuVJqufPh7e9rfi4kipuICWZVwGrRMT/vgKMiCZg3dI5SZLUXT/8YV58p5q0TTSXXx523rn4x4nI81A7svHGsNZaxT/uCivkxLnaHHxw8fNQ6+ryasUNDcXGlVQVqjLJjIjGiDg4Ig4GVgNWbLkfEY2la56IiLNayqSUbgeuAX4fEQdFxIHAecCtKaVONruSJElvMn8+XHddpWvRvraJ5gc+kJPCojQ0wKc+BcOGdX7d179ebO/eyJFw/PHFtqUoo0fn33ORe4MOHw5f+lJx8SRVlapMMoGVgD+XbtsCG7W63zIjvh6oa1PuMOAm4Gzg98AU4D39UF9JkgaOBx6onh6m9hKblkTzyitzYlbk0NXx4+Eb3+j6usMPzz2adW0/ivTCkCGw3npwzDF9j1Uup5xS3PzXhoactDofUxqwqjLJTCk9nVKKDm5Pl65ZO6V0dJtyM1JKH0opjUspjUkpHZFSeq0SbZAkqWY9/HB5t+normHD4JOfhPZWgZ86Fd797vyzKA0N8Oc/dy+ZGjIELrigmN7Mxka46KJiEtZyGT8ezj+/718+1NXBiivCj35UTL0kVaWqTDIlSVIFzZ1bHUnmkCHwuc/lRYjKvd1YYyOcdx5sv333y6yzDvzzn3k4aW+GuUbkJPWqq+Ctb+15+f62117wi1/0PtEcOjRv/3LrreVZSEhS1TDJlCRJbzZiRE7wKmnIkLzS6lprwQYbdC/RXHll2HzzniUwI0bAqqvCNdfAe3oxw2brreHOO2HDDXv2uI2NeYjsbbdV57YlHTn6aLj88rzoUk/maI4cCbvsAvfcA2usUabKSaoWJpmSJOnNNtqo8knm8OHwy18uvb/BBnDmmZ2XOeusvO3Kj38Mq6+etyJpbwhqRO59HD0aPv1pePzxviV6EyfCfffBiSfmFWJHj27/99fyuMstlxcOeuih2tzCY4894Mkn8xzSxsbcpvbU1+fkct114be/zYn8Siu1f62kASVSOfZ5qjFNTU1p8uTJla6GJEnVYf78nDgsXFiZxx85Ek44Ab785aXHHnssL/bT2RzMCRNyj+cGG+TFgG6+Gf7xD7jpJnj++TwEeLnl4B3vyFuf7Ldf7sks0uLFcO21cP31+fFfeSXXZaWVYMcdcxv22isnYAPBnDnwl7/k3/G//w0zZuQEe+218+94zz3zvqLVuGqupDeJiCkppUL2Uep2khkRWwC7AIuAa1NKj3Zw3QHAASmlDxdRwf5gkilJUht77w1XX93/j9vYCEcemXsxWxKT7iSYLVonmpKkbisyyezWWJiIOBWYDJwKnAE8GBE/iYih7Vy+OfDBIionSZIq5Mtf7t/FWSLygjJf+1rvE0xYdh9NSVK/6zLJjIj3AF8EZgG/BX4JvAp8Crg2IgraNEmSJFWNXXfN+xiWe1hnXV1OLpua8gI6X/969xLMCRPgiis63t7ERFOSKqY7PZmfAOYB26SUPpZS+jSwAXAJsDNwRUQUPKFBkiRVVETeF7GIOYv19TkZXGWVpQviNDTklWA/8xm4666cYG6yydIyXSWYN9wA++7b8aqzJpqSVDHdSTK3BC5tPQczpTQrpfQ+8tDZXYC/RUQP1rGWJElVb4018qIujX0YtDRiRO4RfeIJePHFvDDOkiXQ3Jy3szj9dNh44zeX6U6C2TLnsrPtTUw0JakiupNkjgKeae9ESumLwGnAO4HLI2JYgXWTJEmVtttu8Pe/w7hxPdsXEfKczl13hRtvzD2XLTpbabQnCWYLE01JqirdSTJfBFbp6GRK6cvAj4E9yUNoTTQlSRpIdt4590Tus0/umRza3rp/rYwaBWPG5H0tr7yy+z2h06b1PMFs0Z1Ec9q07tVDktQn3UkyHybPvexQSukL5AWB9gU+V0C9JElSNVl+ebj0UnjgAfjkJ2HNNfNcy5aEsqEh37bdFn71q7w/5BFH9Gx/xOWXh2OPXfZ4d7cl6SzRPPbYHF+SVHZd7pMZEZ8h91TunFK6pYtrfwN8BEgppbrCallm7pMpSVIvNDfDs8/CwoUwdmyew9mTpLIjkybBiSfmf/dm38u2Q25POCHHlCR1qMh9MruzLvklwASgy6//UkrHRsTzwNp9rJckSap2jY0wcWLxcVsSwt/8pucJJizt0dx119yDaYIpSf2qy57MXgWNqE8pLSo8cJnYkylJUhWaNq1vQ1z7Wl6SBpEiezK7Myez9QOf2dWemBGxNnBrXyolSZLU5wTRBFOSKqJHSSZwDHBnRLQ7NiYiDgbuAbbua8UkSZIkSbWnp0nmd4GNgMkR8aGWgxExLCJ+AVwILAbeU1wVJUmSJEm1okdJZkrpm+T9MGcBv42IP0REE3An8HHgNmDzlNJfC6+pJEmSJKnq9bQnk5TSdcBmwD+BI4A7gI2B75C3OXm+0BpKkiRJkmpGd7Ywac9s4FWgZTOsmcDNKaUlhdRKkiRJklSTetyTGRGbAXcDhwPXkIfJDgOujojvRkSPY0qSJEmSBoYe9WRGxKeAH5bKfS2ldErp+A3kRX+OB3aJiMNTSs8WXVlJ6m9LlsBNNy29vfQSRMCqq8JOO8Euu+SfEV2GkqSBZ8ECuOoquPXWfJs+HerqYN11Yeed4V3vgs02q3QtJfWzSCl1/+KIJcCzwOEppdvbnBsGnAZ8CpieUqqZzamamprS5MmTK10NSVVk8WL4xS/g+9+H2bNh7lxYtOjN19TXw4gRMHYsfP3r8LGPwRDHckgaDObMge98J79RppTvL2kza2rYsPxGue668L3vwX77VaaukrolIqaklJoKidXDJPMy4MMppemdXHMgcJZJpqRa9dhjcPDB8N//5s9N3TFyJLz1rXDRRbDeeuWtnyRV1C23wPveBzNmwLx53SvT2Ah77AFnnQXLLVfW6knqnSKTzJ5uYfKezhLM0jWXA5v3oU6SVDGTJ0NTEzz4YPcTTMjX3nsvbLUV3Hdf2aonSZV10UWw55557kB3E0yA5mb4+9/zm+RLL5WvfpKqQlkGdqWUnitHXEkqp//+F975Tpg1a9lRX92xZAnMnJnnaT7nu6CkgeaGG+Doo/P8gd5YsABeeAF23LH3MSTVBGcPSRI5QTz00J71XnZk9mw44og8TUmSBoQ33shDZPuaHC5cmBPN444rpl6SqlLVJpkRsVFEXBcRzRExNSK+HRF13Sg3NiJ+FxHTI2JmRJwXETUzP1RSZfzhD/Dww3nBn75atAjuuSePKpOkAeFrX8vfoBVh7lz47W/hgQeKiSep6lRlkhkR44F/Agk4APg28H/Aid0ofiGwC3AMcDSwNXB5GaopaYBIKS+SWEQvZos5c+C73y0uniRVzJw58Lvf9WwOZlcWLIBTTy0unqSqUpVJJvBxoAE4KKX0j5TSr8gJ5hcjYkxHhSJiO2BP4IMppUtSSpcBHwB2iIjd+6PikmrPvffCiy8WH/fJJ3PvqCTVtEsuKX5/psWL4cILYf78YuNKqgrVmmTuDVyTUnqj1bELyInnzl2UezmldHPLgZTSncBTpXOStIzbb+/dQj9dicixJammXX99cUNlWxs6FO6/v/i4kiquWpPMicAjrQ+klJ4Fmkvnul2u5OEuykkaxP71r/IsdDhnjkmmpAHg3/8uT9zFi+Huu8sTW1JFVWuSOR6Y0c7x6aVzRZeTNIiVY6hsi6lTyxdbkvrF9E63SO+9+fPhtdfKE1tSRVVrkgl50Z+2ooPjvSoXEZMiIk31U6A0qBU91ai/YktSv4goX2zfJKUBqVr/sqcD49o5Ppb2eyq7KjeuvXIppUkppZgwYUJP6ydpAFlvvfLEjYD11y9PbEnqN6uuWp64jY2w+urliS2poqo1yXyENnMoI2INYCTtz7nssFxJR3M1JYntt4dRo4qPO2oUbLtt8XElqV/tuGN5ejNTgq22Kj6upIqr1iTzKmDPiBjd6tihwFzgpi7KrRIRO7QciIgmYN3SOUlaxs47w6JFxcdduDB/NpOkmrbnnuX5Jq6+HjbYoPi4kiquWpPMXwHzgUsjYveI+CgwCfhR621NIuKJiDir5X5K6XbgGuD3EXFQRBwInAfcmlL6Z382QFLtWHtt2Hrr4uPuuCM4Gl9SzdtrLxg+vNiYw4fDpz4FdXXFxpVUFaoyyUwpTQfeCdQBfwNOBE4HTmhzaX3pmtYOI/d2ng38HpgCvKec9ZVU+048MU8PKkpjI0yaVFw8SaqYujr42tdg5MjiYtbX5yRT0oAUKXW1WOvA19TUlCZPnlzpakiqsCOPhIsvhnnz+hZnxIgc68wzi6mXJFXc4sWw5ZbwwAOwZEnfYo0cCaedBh/7WDF1k1SIiJiSUmoqIlZV9mRKUndNm1Zc+Z//HFZbLX/B3ltDh8Jaa8Hpp/etXpJUVerq4JJLYPTorq/tTEMD7LorfPSjxdRLUlUyyZRUsyZNgre9DR57rHflH3ssl28Z1jpmDNx2W56j2dDQ83gNDXnLkltvLXZUmSRVhfXXh1tugfHj8zdqPTVyJOy2W05Wy7n3pqSKM8lUWTz2WP7gvvPOsOKK+YvP8eNhiy3gs5+Fm27KK5dLvTVpUp5HOXVq/lK8p4nmY4/lclOn5jgtieZKK8F998HRR+eksTufg4YMyXMwjz0WpkyBFVboYWMkqVZsuik8/HBOFrv7bdrQoflN8nvfg7/+FYYNK28dJVWcczJxTmaR/vMf+PjH4d5785YQCxcue01E/n9pueXgRz+C976336upGteSYLY2YQLccEP3VsNvnWC2dsIJb16sZ/JkOPlkuOKKvBDi3LlLX9PDhuUkdP582H9/OP74/CWKJA0KKcHVV8P3vw933pnfJOfMyXM3IU9OHzYs3//Qh+BLX8pzCSRVrSLnZJpkYpJZhCVL8of+H/4wL5rS3ZdVY2P+sP/HP8K4cWWtogaIadPyENe2CSJ0L9HsKMFsKf+f/8Dyy7/5+IwZOeGcPBmefz5/UbL66tDUlG9jx/apSZJU2158Ee66C+6+G159NU9sX3992GqrvFjQiBGVrqGkbjDJLJhJZt8sWQLvf38eAdPc3PPyw4blLzf//e/cuyl1patEsaNEs7flJEmSBjpXl1VVOf743ieYAAsWwDPPwLvetXSUjdSZDTbICeGECcue62iOpgmmJElS/zDJVJ/ccQf87Ge9TzBbLFgAjz4Kp55aTL008PUk0TTBlCRJ6j8mmeq1lPIKnHPnFhNvzpw8r/OVV4qJp4GvO4nmlVeaYEqSJPUnk0z12p13wnPPFR/3N78pPqYGrq4SzXe/2wRTkiSpP5lkqtfOPLO4XswWc+fCL39ZbEwNfJ0lmu0xwZQkSSofk0z12s0355Vli/bKKzBzZvFxNbB1N9E0wZQkSSovk0z1yuLF8PTT5Ynd2Jj3KpR6aoMNcg97Z8480wRTkiSpnEwy1Svz5pUvdkowY0b54mvgeuwx+OhHO7/mox9ddnsTSZIkFae+0hVQbaqrK89QWYAIqPeVqQ68+ipMmQIvvJC/kFhhBdhyyzyfd7fd2l/kp7WWVWdrYchsSnkP2XvugWnT8t/G6qvDVlvldkuSJFUjP8qrV0aMgNGjyzN3ctEiWGed4uOqds2cCeeeC6edBi+9lF9/ixblc/X1MH9+3ms1pe7Fq/ZE87nn8v6zZ56Z2zZ06JvbO29enlv6pS/BUUflv0VJkqRq4XBZ9dpmm5Un7qJF1fnBX5Vx8cWw1lrw1a/Cs8/mZPKNN6C5Od/eeCMnYu0lmBMmwBVXdL6PZjUNnV20CE46Cd76VjjjjDxsfO7cZdu7YEGeE33ccbDmmvCXv1S44pIkSa2YZKrX3vvevEhP0XbaCYb4yhz0Fi+Go4/Ot5kzc4LVE0OHwt/+Bvvu2/k+mtWSaM6YAdtsA6eckhPLBQu6LjNnTi53xBF5rmm5hrBLkiT1hB/l1Wsf/GDxH2pHjYKvfKXYmKo9KcGRR8Kf/5wTqd76yEdyctrZ9ibVkGjOng077AAPPNC79jY3w3nnwTHHdH/IsCRJUrmYZKrXxo6Fj38cGhqKiRcBa6+dF2/R4Pab38Bf/9rz3svWFi6ERx6BL3wh36/mRPOTn4Qnnuhe72VHmpvhootysilJklRJkfzam6ampjR58uRKV6MmzZ2bP7w//3zfYzU05FVDN9yw77FUu154Ic9J7EsPZmsNDXDNNbDjjvn+Y4/lhLK9VWgnTMh7tC6/fDGP3R3//CcccEDfEurWRo+Gxx+HlVcuJp4kSRocImJKSqmpiFj2ZKpPGhrgyiv7vrplQwP8/OcmmIJTT829kEWZOxeOP37p/c56NI89tn8TTMiL9xSVYELuDf3JT4qLJ0mS1FMmmeqzt70tf2gfNy4vttJTDQ35Q/GHPlR41VRj5s+H3/62b8NG23P33Xk4aov2Es0TToBJk4p93K489BA8/HCxMefPh1/8othEXZIkqSdMMlWIrbaCRx+Fd70LRo7M8yu7MmoUrLce/OtfecESafLk8qwsHAHXXvvmY60TzUokmJCH8ZZjRdjFi/OwX0mSpEowyVRhVlopD529+mrYb7/cqzlmTE46hw/PPZZjx+bjm22WF3d5+GHYYotK11zVYsqU4nsxIQ+ZveWWZY9vsEFOxiqRYALceGPueSza4sX5dylJklQJ9ZWugAaeHXbIt3nz4P778232bBg2LH+o33LLPLRWauvhh/PrphweeaT94/09B7O1xx8vT9zm5urY+1OSJA1OJpkqmxEjYOut803qjnLOI6zGOYqLFpUvdjl6SCVJkrrD4bKSqsZyy3VvPm9vVGPv+Zgx5Yk7ZEhle2glSdLgZpIpqWpstVVeEKpoEbD99sXH7attty1P3FGjnOssSZIqpyqTzIj4ZERcGRHTIiJFxC49KHtARNwfEfMi4qGIOLR8NZVUpK23Ls8Q0lGjqjPJ3GGHvu8x25758x2mLkmSKqcqk0zgKGA54JqeFIqIHYBLgBuAvYErgT9FxB6F11BS4dZdF97yluLjpgR77VV83L7ab7+8EmzRNt/8zXuASpIk9adqTTK3TyltB3yvh+W+CdycUvpsSumGlNKXgauBbxVeQ0llcfzxedubogwfDh/9aF6IqtqMHAkf/GCuY5Exjz++uHiSJEk9VZVJZkqpx9uTR8RwYFfgojanLgC2i4ixRdRNUnkdeihMnAh1dcXEGz0aTjihmFjl8J3v5D1ki1Bfn3sxDzigmHiSJEm9UZVJZi+tBwwF2u6G9zC5nRv0e40k9diQIXDhhcUkXo2NcN555VvFtQjLLQd/+EOua181NMD555dvhV5JkqTuGEhJ5vjSzxltjk9vc15SlVtvPfj73/s2bLahAc44A/aogRnZ7343nHJK3xLrUaPg2mthzTWLq5ckSVJvVDTJjKy+1a2IAXKp7cN0cJyImBQRaerUqQU8rKQi7bgj3HQTrLZaz5KvoUNzz+Wf/gTHHlu++hXt05+Gc87Jw3uHDu1+ucZGWGstuPXW8m2JIkmS1BOV7sncGVjY6nZdH2K19FiOa3O85f6MtgVSSpNSSjHBZRilqrTVVvD44/DJT+ZkqrOezREj8u3AA3OZWpyX+L73waOP5lVnW9rTkVGj8u/jM5+BRx6BzTbrv3pKkiR1pr7Cjz8FaL2b26w+xHqSnKhOBG5qdXwisAR4rA+xJVVIQwOceiqceGKeq3nllXDnnfDaa3lrkjFjYIst8rDYI4+ElVaqdI37ZtVV4ZJL4KWX8lzNa6+Fe++FWbPyXMsVV4S3vz0PsX3f+4qZyylJklSkSGmZUaRVIyI2Ae4Hdk0p3diN668B6lJKu7c6dgUwLqW0Q0flmpqa0uTJkwuosSRJkiTVnoiYklJqKiJWpXsy2xURTcDawBqlQztHxArA0ymlyaVrjgLOBtZLKT1Tuu4k4MaIOAO4HNindKvCbdglSZIkaeCpyiQT+DTwwVb3J5V+ngscXfr3EKCOpQv7kFK6NSIOBr4DfAJ4CjgipXRtmesrSZIkSaLKh8v2F4fLSpIkSRrMihwuW+nVZSVJkiRJA0i1DpeVVANmzYJnn4XFi2H8eFh99bwCqiRJkgYvk0xJPfLAA3DGGXDVVfDqq3kvxwhYuBCGDIEtt8x7Nx54IAwdWunaSpIkqb+ZZErqlhdegKOOgttvhwULcu8l5OSytVtugXvugY9/HM4+Gw44oP/rKkmSpMpxTqakLv31rzBxItx8M8yduzTB7Mjs2fD663DEEXD44TkplSRJ0uBgkimpUxdfDIcdlhPHRYt6Vra5Gf7yF9h332V7PCVJkjQwmWRK6tCDD8IHP5h7L3tr7ly47TY47rji6iVJkqTqZZIpqV2LFsH73te3BLNFczP86ldwxx19jyVJkqTqZpIpqV2XXJK3J0mpmHhz58JnP1tMLEmSJFUvk0xJ7TrllDwPs0j33w+PPFJsTEmSJFUXk0xJy3j11Twfs2iLFuUeUkmSJA1cJpmSljFlCowYUXzchQvhxhuLjytJkqTqUV/pCkiqPg8/DPPmlS92b913X05Sb74Znn46zxddeWXYaSd4xztghx1gSMFfnaWUFyy65Ra46SaYOhUiYPXV8+PutBM0NeVjkiRJMsmU1I5583q+J2Z3zZ/fs+tTgssug299C556CpYsWTYBvu46GD4cRo+G44+HT34S6vv47rZkCZxzDpx0Erz2GixYkG8t7r4brr4ahg6FVVbJ9TvySJNNSZIkh8tKWkZDQ9+TtI4MH979a195BfbeG446Ks8RbW5uv4d14cK8SNGLL8JXvwqbb963HtOnn4Ztt82r4T79dI7dOsFssWABzJkDTz6ZE9sddoDnnuv940qSJA0EJpmSlrHhhuWZkwmw8cbdu+7pp3OyeP31OZHrruZmeOghePvb4bbbel6///wHttgi91T25HHnzIE774TNNsuPL0mSNFiZZEpaxlZblWdO5tChsPPOXV83fXqeY/nyy7mXsqdSyr2Pe+7Zs4Tv2Wdz/WbMgMWLe/64ixblsjvumOduSpIkDUYmmZKWscIKsOmmxcetr4eDD+76uo9/HKZNy/Mi+2LOnPx43ZlfmhIcfnjf9wZNCd54Az7wgfxvSZKkwcYkU1K7jjsORo0qNubb3gYbbND5NTfdBFdc0fMFgtqTEjzzDPz0p11f+6c/5dVri1jwaNGiPHT20kv7HkuSJKnWmGRKatdBB8Haaxe3WmpDQ/eSve9+N8+rLEpzM/zgB133ip50Us/mYHZlzpzcFkmSpMHGJFNSu+rq4M9/zslhXzU25tVXt9668+teeSXvgVm02bNzD2lH/vOfPB+zaI88Ao89VnxcSZKkamaSKalDEyfCeef1LdFsaICddoKTT+762jvu6NkWJ901bx7cckvH52+7rTzzJ4cMgX/9q/i4kiRJ1cwkU1KnDjwQLr4YRo/Oq8P2RGNjXnjnr3/t3r6bU6YUO2S1xaJFnfeQ/utfMHdu8Y87Zw7cfnvxcSVJkqqZSaakLu2zTx72udtuuWeyq4Rx9GhYccU83Pb3v+9+cvrCC73bOqQ7Xnml88ctF7cykSRJg41JpqRuWWUVuPpquPtuOOYYWGONnGyOGpWTyhEjYMwY2HXXnFhOnZqT054oapGhnsYeUsZ3wnK2SZIkqRp1YwCbJC01cSL88pf533PmwPPP55Vbx43LiWhfkqp11sm9ngsXFlLVN1ljjc4ftxwiYN11yxNbkiSpWtmTqbJKCV56CZ54Iq/eWcQehKoeI0fCW98KG24Iq67a9167rbYqZjXbtoYNg5137vj89tsXvyco5Jjbblt8XEmSpGpmkqnCzZsHf/gDvOMdefjkOuvAFlvkRGTkSNh4Y/jOdzqfI6fBaZttYMGC4uMOHQq77NLx+Z12Ks8XIAsXwo47Fh9XkiSpmplkqjApwVlnwUor5T0Rb7st7084b17+2dycE4iHHoLvfQ/WWgs+85nyrOqp2jR2LOy/f/FzJCdMgKamjs+vtx5svnmxjwmw3Xaw+urFx5UkSapmVZdkRsSqEfHDiLgvImZHxHMRcW5ETOhm+QMi4v6ImBcRD0XEoeWus2DmzLzy6Oc+B7Nm5aSyM3Pn5uTzrLPgLW+BBx/sn3qq+n3ta8XulTlyJJx4YtdDeU88MW+5UpTGRjjhhOLiSZIk1YqqSzKBrYD3AH8C9gO+DGwD3BYRnc6aiogdgEuAG4C9gSuBP0XEHmWt8SD3xht5Ttvtt/d8j8O5c/MqpNtvDw88UJ76qbZstlnuCS9ibmZ9PWy9NRx2WNfX7rEH7LtvMQnuiBF5f9DO5oFKkiQNVJFSqnQd3iQixgGzU0qLWh3bAHgUODqldG4nZa8BhqaUdmt17O/AmJTSDh2Va2pqSpMnTy6i+oNOSnmbihtugPnz+xZrxRXzAkFjxhRTN9Wu+fPz/MyHH+79HM0IWGEFuPfePFy2O6ZPz8Nmp07t/RzN+npYc0245x5fy5IkqXZExJSUUicTjLqv6noyU0ozWieYpWOPAc3ASh2Vi4jhwK7ARW1OXQBsFxFji66r4E9/gltu6XuCCXmY7ac/3fc4qn3Dh8ONN+bFonrTozlsWP7S4rbbup9gAowfn3vkV1st90b21IgRea7xbbeZYEqSpMGr6pLM9kTE24BG4KFOLlsPGAo80ub4w+R2blCe2g1eixfnOZg9HSLbkXnz4OKL4dFHi4mn2jZuHPz73/CJT+REs7uLAY0cCXvvnReYWn/9nj/uhAnwn//A+97X/TmaEfna978/95yuvHLPH1eSJGmgqPokMyKGAD8GHgeu7eTS8aWfM9ocn97mfOvYkyIiTZ06ta/VHJSuvLKYHszWFi6EH/+42JiqXSNGwGmn5Z7B97433x8zJg9JbTFkSD42YkSeA3nppXD55bD88r1/3DFj4Nxz4ZprYK+9lj5uXd3Sa+rqlj7uvvvCddfBb39bnv02JUmSaklF52RGRACtPraRUkqL21xzCvA5YOeU0h2dxHoHcCuweUrpvlbH3wI8BuyRUvpHe2Wdk9k7Bx0El11WfNxx4/LcOKmt6dPhjjvgrrvgv/+FJUtyz+PWW8O22/ZsaGxPvPJKftw774Rnn82J7Zpr5sfdZps8NFeSJKmWFTkns77rS8pqZ/JKsC1uAnZpuRMRnySvLnt4ZwlmSUtaMq7N8Zb7M3pZR3XgzjvLE3fuXHjxRVh11fLEV+0aPz73LO61V/8+7korwX775ZskSZI6V+kkcwqwdav7s1r+ERHvBX4KfCWldGE3Yj0JLAQmkpPVFhOBJeTeTBVk4cKcCJbDiBF530yTTEmSJKn2VDTJTCnNApYZpxoRuwDnAT9LKZ3azVjzI+IG4BDg161OHQrcnlKa2ecK63/mz89DBpcsKU/8uXPLE1eSJElSeVW6J3MZEbEhcDl5ldgLI2LbVqdfTSk9WbruKOBsYL2U0jOl8ycBN0bEGaUY+5Ru/Ty4buAbPrx8CSb0bvsISZIkSZVXdUkmsA0wFtgM+Febc+cCR5f+PYS8aFC0nEwp3RoRBwPfAT4BPAUckVLqbFVa9cLQoXme2ksvFR97/vy8P6IkSZKk2lPR1WWrhavL9s5++8EVVxQfd/RomDkz7z0oSZIkqfyKXF226vfJVPU66qicEBapvh4OPtgEU5IkSapVJpnqtQMPfPPm9EUYOhS+8IViY0qSJEnqPyaZ6rWhQ+GUU2DkyGLiDR8Oe+4Jm25aTDxJkiRJ/c8kU31y7LGwxRY54eyrhgb47W/7HkeSJElS5Zhkqk8i4LLLYLXV+pZojhwJV18Nyy9fXN0kSZIk9b9q3MJENWaFFeDOO/NQ18cegzlzul92xIicYP797/D2t5evjlK1WLAAHnoIXn01f0kzYQK89a3Fz2+WJEmqFHsyVYgVV4S77oJJk/Kw18bGzq8fNiwnmO95DzzxhAmmBra5c+Gcc+Btb4NRo2CnneCQQ/JKyttsk79o2XFH+MtfYNGiStdWkiSpb9wnE/fJLNrMmXDuufDrX8Pjj+cFferqIKX8YXvllfMH7M98BtZZp9K1lcrrssvgwx/OyePs2Z1fO3o0jB0LF10E223XP/WTJEmCYvfJNMnEJLOcFi7MPZWzZ+fey/XWyz050kC3cGHeS/avf4Xm5p6VbWiAL385jwxwz1hJktQfikwynZOpsho6FDbcsNK1kPrX4sVw0EFw/fU9TzAh9/ifdlr++YMfFF8/SZKkcnJOpiQV7Lvf7X2C2WLOHPj5z/NwW0mSpFpikilJBXrwQTj55L4lmC2am+FDH4Jp0/oeS5Ikqb+YZEpSgb76VZg3r7h48+bBj39cXDxJkqRyM8mUpIK89BJce21eSbko8+fDz36WFxKSJEmqBSaZklSQq6/Oi10VbfFiuPvu4uNKkiSVg0mmJBXkttu63guzNxYuhClTio8rSZJUDiaZklSQ++4rT9y5c8sXW5IkqWgmmZJUkCIX/OnP2JIkSUWqr3QFJPXes8/CNdfArbfCQw/lYZVjxsD228N228Gee8KIEZWu5eAxalT5Yo8ZU77YkiRJRTLJlGrQnXfmrTJuuw2GDFl2T8Z//QtGjsyrnH70o/Ctb8HYsZWp62CyzTZw++3Fri4LOXndaqtiY0qSJJWLw2WlGjJ/Pnz+87DLLnD99XkIZdsEE2DJEpg1Ky9C8/Ofw3rr5R5Pldd225WnNzMlaGoqPq4kSVI5mGRKNWLOnJxcnnlmXgimu+bPh2nT4D3vgV/+smzVE7D33nm7kaKtsAJsvHHxcSVJksrB4bIqi5Tgscfgrrvg3nthxow8N3DjjfOwvy23hHpffd22ZAm8+935d9nbBWDmzoX/+7+csBxySKHVU8moUfCBD8DvfpfnxxahcfgivrLRVcRH/5rHRq+7Lmy9db6NHl3Mg0iSJBUoUtGTh2pQU1NTmjx5cqWrMSAsXAi//z2cfDJMnZo/E7feN7ChISeX9fXw6U/D5z4Hyy9fufrWip//HI47Lvdm9tXo0fkLgFVW6XssLevll+Etb8nDlftuCevEszzMhgxPpW8Xhg3L39gsWJC/LfjqV2HDDYt4MEmSNIhFxJSUUiETdBwuq8Lcfz9sumlOHJ94Is8VbLsx/dy5+cP39Onwgx/kuYKXXlqZ+taKV1+Fr3ylmAQTck/oxz9eTCwta+WV85Dmxsa+x2pgHn9O712aYEJOLt94Iz+R55+fhwZ861vFdZ1KkiT1kUmmCvHXv8K22+Yesu4mQ/Pnw8yZcOSReRinnertO/PMYn83CxfC1VfnnmaVx2GHwZe+1LdEs4FmzuZDbMXdHV+0eHH+5ua002CnnZb9VkeSJKkCTDLVZ//8Z/5Q3dzcu2SouRl+9Sv4xjeKr9tA8LOf9Wyhn+6IyPMGVT4nngjf/34eIj6kB++0Q5nPaN7gQg7lMC7qXqHmZrjnHthjD1i0qHcVliRJKohJpvrk9dfztLC+JkHNzXD66XDLLcXUa6B4+eU8tLho8+bBtdcWH1dv9tnP5tyvqSknm3V1HV87jPmMYC57cg2P8xb244qePdj8+XDfffC97/Wt0pIkSX1kkqk++eQn29+nsTfmzs09ok4tW+qee/IaL+Xwn/+UJ67e7K1vhTvuyLdjjsmLAg0dCsOH5zV8htcvZtN4gM9zOo8wkb9xACvzSu8erLk5r7r12GPFNkKSJKkHqi7JjIhhEXFRRPw3IuZGxKsRcVVEbNXN8gdExP0RMS8iHoqIQ8td58HqxRfh8svzOiRFeeMN+MtfiotX6159tTz7LkJRq5+quzbdNA8Lf+yxnAu++CK8/FJizoS38J+0KafwVdbi2b4/0IIFeVUtSZKkCqm6JBOoAxLwfWBf4FigEbg+ItbtrGBE7ABcAtwA7A1cCfwpIvYoa40Hqd/8Js/tK9Ls2fDDHxYbs5YV/fvtr9jqXH09jB8P4x66jbrXXy02+OLFedXZooYYSJIk9VB9pSvQVkppLvCm3seI+CcwDTgQ+FEnxb8J3JxS+mzp/g0RsTHwLcAZaAW74oo8t69o99yTh8wOHVp87FozYULn8/j6Yvz48sRVD1x/fXn+iIYOhbvvhh12KD62JElSF6qxJ7M9c4B5wLCOLoiI4cCusMxyjBcA20XE2PJVb/BJCR58sDyxR4yAhx4qT+xas+WW5euQ2nLL8sRVD9x0U3lWg50/H6ZMKT6uJElSN1RtkhlZfUSsAvwAWAz8qZMi6wFDgUfaHH+Y3M4NylLRQWrevPw5thyGDIEXXihP7FozbhystVbxcRsbYd99i4+rHnruufLEnT8fnn66PLElSZK6ULVJJnAcsBB4EfggsE9K6ZlOrm8Z/DejzfHpbc7/T0RMiog01V3peyyl8s7pW7KkfLFrzf/9H4wcWWzMJUvgyCOLjakq4x+RJEmqkIomma16K1turWefnQNsDewPTAGuiIiNuhE2tX2YDo6TUpqUUooJEyb0ovaD24gRPdtgvidSghVWKE/sWvSBD+StLooyYgR88IO5l1QVVq4Xen09rLJKeWJLkiR1odI9mTuTeytbbte1nEgpvZRSmpxS+huwH3nhn+M7idXSYzmuzfGW+zP6Xl21GDIENijTAOTmZnjb28oTuxaNGgXnnJOHuBZh7Fg49dRiYqmPdtyxPN/WNDbCVt3a9UmSJKlwlU4yp5B7K1tuH2vvopTSIuB+oLMtTJ4kJ6oT2xyfCCwB3J28YO98Z+4wKdo66xSXUA0U++8Phx/e999LYyNcemlOXFUFdtqp+LHQkOdkNjUVH1eSJKkbKppkppRmlXorW26PtnddRIwAtgSe6iTWfPL+mIe0OXUocHtKaWZR9Vb28Y8Xv83IyJHwhS8UG3Og+PWv4b3v7V2iOWRI/t1efjlsv33hVVNv7bFH8X9EEfCud8FyyxUbV5IkqZsq3ZO5jIg4PCJ+HxFHRMQuEXE48A9gVVrtkRkRR0XEoohovfbmScAuEXFGqewPgH2Ab/drIwaJiRPzNhhFjvYbMiTPQdSy6urg3HPhJz/JPZHdnac5ciRssglMnpxzD1WR+vr8rUqRXfcNDfDVrxYXT5IkqYeqLskEHgWWJyeU1wDfB6YCTSmle1pdNwSoY+nCPqSUbgUOBnYvld0fOCKldG3/VH3wOeccGD68mFgjR8IvfwmjRxcTbyCKgI98BB59FD71qZxsjhmz7HMwalTOWzbcEH7+c7j77vylgKrQl78MK69cTKwRI3J3t93VkiSpgiKlZRZdHXSamprS5MmTK12NmvXLX8KXvpQX7Omthobcy3b55eXdGmWgmTcv91BOmQIPPAALFuRRkk1NsPXW5VucSQW75x7YYYe+/RHV1cGqq8KDD+ZvHiRJknogIqaklApZ1KEMy7ZosPnEJ+DVV+GUU3r3GbmxEbbdFi66yASzp0aMyLnJDjtUuibqky22gL/8BQ44oHd/REOHwoorwr/+ZYIpSZIqziRzkFq0CG66Ce64I38unTEjf07deGPYbru8cuyqq3Y/3re+lYdjHnNM7l1buLB75Roa4DOfgZNOKn79E6mm7L57/mN873vhpZe6n2w2NuatUH7/e1hppfLWsZwWLIAbbshvSv/+d35TGj4cNt00vyntvntOpCVJUtVzuCyDa7hsczP88Id58ZhFi2Du3GUTwlGj8rF3vhO+853cydJdL78M3/wm/PGPeU2T2bOh7UussREWL867N5x8cl48SFLJggXwox/BaaflrUiam/MfTGvDh+fhsWutlb+hOeig2h0GMGsWfP/78Itf5DeL5ub85tQiIr8pLVgA++yT27vxxpWrryRJA1SRw2VNMhk8Seatt8Khh8L06Tm57EpEHo7Z0tPY3dVMISeXV14Jt9+eOyZmzcrlN90U3vEO2HtvWGON3rdFGvAWL4brroPbboObb85j0ocMgbXXhp13hl137dk3QNXouuvyBrCzZuUhEF1peVM6/nj42tfKs1GvJEmDlElmwQZDknneeXDssd1LLttqbISttoJrrsnDWyWpz848Ez7/+d6/Ke24I/z1rz379kuSJHWoyCSzGrcwUcGuvrr3CSbk0Wt33QX777/s0FdJ6rGLL+59ggn5Tenmm/PQDN+UJEmqOiaZA9y0aXk0Wm8/y7WYNy8Pff31r4upl6RB6sUX4UMf6vub0ty58I9/wPnnF1MvSZJUGJPMAe5zn+vb1nutzZmT98N89dVi4kkahD72sbygURHmzMl7KL3xRjHxJElSIUwyB7DXXoNLLsmLMhZlyZI8lUqSeuz55+Haa7u/x1F3LFmSt2+RJElVwyRzAPvDH4rf1WDuXPjpT4uNKWmQ+M1vio85Zw6cfnrxcSVJUq+ZZA5gV1/d92lP7ZkxI0+rkqQeueaa4obKtvbccw6ZlSSpiphkDmD33FOeuMOHw913lye2pAHswQfLE7ehAe69tzyxJUlSj5lkDmAzZ5Yn7uLF8PLL5YktaYBasgRmzy5P7JR8U5IkqYqYZA5gRc/HbG2IrxxJPVHON6QI35QkSaoi/q88gI0fX564dXWwyirliS1pgIqAMWPKF983JUmSqoZJ5gC25ZbliTtvHmy1VXliSxrANt20PHGbm2HzzcsTW5Ik9ZhJ5gC2777Q2Fh83JVWghVXLD6upAHu3e+GESOKj7veejByZPFxJUlSr5hkDmDvf39ea6NIjY3whS8UG1PSIPGhDxUfc9Qo+PKXi48rSZJ6zSRzABs7Fj74wWI7DurqyvM5UdIgsPLK8J73wLBhxcUcOhQOO6y4eJIkqc9MMge4H/4QRo8uJtbIkfCrX5VvQSFJg8DPflbcOP7GRjj3XIfKSpJUZUwyB7jRo+HSS/v+ma6xEfbZBw4/vJh6SRqkllsOLrwQGhr6FqexMfdg7rdfMfWSJEmFMckcBHbYAS6+OH8m681WdSNHwu67w3nnlXerO0mDxB57wO9/3/tvvxob4YAD4Mwzi62XJEkqhEnmILH33vDvf8MGG3R/ZFldXe5s+Pa34bLL8tQnte/hh+Hkk2GvvWCddWC11WD99eG974Wf/AReeKHSNZSqzMEHw003wdprdz/ZrK/P1556av7Wq66urFWUJEm9EymlSteh4pqamtLkyZMrXY1+sXAhnHUWnHIKvPoqpJS3mGsxdGhOLBcuzENjv/a1vDuA2nfrrXm13QcfhMWLYcGCZa9paMir/O66K/z4xznRl1Qyfz78+td5AvmMGfmPpb03pUWL4Kij4KtfhTXXrFh1JUkaqCJiSkqpqZBYJpmDK8lskRLcdx/cdRfccQdMm5YXfNxkE9h6a3jHO4pbMGggmj8/J5fnnANz53avzJAhMHx47hn+v/9z6LH0JinB3XfnN6U774Tp0/MfzNveBk1N+U3JBX4kSSobk8yCDcYkU703d26eo3rPPd1PMFsbORLe977co2yiKUmSpGpQZJLpnEypB1LK8yx7m2ACzJmTF9f8+teLrZskSZJUDUwypR74wx/g5pt7n2C2aG6GM84AO9AlSZI00FR9khkRZ0REiohTu3n9ARFxf0TMi4iHIuLQctdRg8Ps2fDpT+eeyCLMnQsf+EDuHZUkSZIGiqpOMiNiI+DDwBvdvH4H4BLgBmBv4ErgTxGxR9kqqUHjvPPywpdFev75vLWMJEmSNFBUdZIJ/AT4MTC9m9d/E7g5pfTZlNINKaUvA1cD3ypXBTV4/OQnxfVitmhuhp//vNiYkiRJUiVVbZIZEQcDGwInd/P64cCuwEVtTl0AbBcRY4utoQaT+fPh8ceLj5tS3mtTkiRJGiiqMsmMiAbgNOD4lFJ3+47WA4YCj7Q5/jC5nRsUV0MNNg8/DCNGlCf2Cy/AvHnliS1JkiT1t6pMMoGvAi8Cf+xBmfGlnzPaHJ/e5rzUY6+/DkPK9NdSXw+zZpUntiRJktTfKppkRlbf6lYXEesAXwI+n1Kv1t1sWyY6OE5ETIqINHXq1F48jAaTurryxU6pfAmsJEmS1N8q/dF2Z2Bhq9t15DmYVwGPRMS4iBhHrufw0v3oIFZLj+W4Nsdb7s9oWyClNCmlFBMmTOhDEzQYrLkmLFxYvvjj7WeXJEnSAFHpJHMKsHWr28eAtwIHkZPGltsawKdL/16tg1hPkhPViW2OTwSWAI8VXHcNImuvXb7YEyfakylJkqSBo76SD55SmgVMbn0sIo4BRrW59ALgJuCXwKsdxJofETcAhwC/bnXqUOD2lNLMouqtwScCdt4Zrrqq2LjDh8P++xcbU5IkSaqkiiaZ7UkpTW57LCLmAc+llG5sdewo4GxgvZTSM6XDJwE3RsQZwOXAPqXbXuWttQaDL30JbrkFZs8uLmYEfPzjxcWTJEmSKq2WB+kNAepYurAPKaVbgYOB3YFrgP2BI1JK11akhhpQdt0V1lorJ4ZFGD4cDjwQnBIsSZKkgSR6t4DrwNLU1JQmT16mA1VaxkMPQVMTzJ3b91jjx8OTT7rojyRJkiovIqaklJqKiFXLPZlSv9toIzj9dGhs7Fucxka47DITTEmSJA08JplSD33sY3DyydDQ0POyQ4bAyJFw6aV5ISFJkiRpoDHJlHrhM5+Bf/wDVlstJ43dMWoUbLYZ3HMP7LlneesnSZIkVYpJptRL73gHPP44nHYarLtu7tkcMwbq6vL5+noYOzYv8LP11vC738HkyfCWt1S23pIkSVI5ufAPLvyjvksJnnkGpkyBRx+FefNyz+Umm8BWW8HKK1e6hpIkSVLHilz4p+r2yZRqUQSsvXa+SZIkSYOZw2UlSZIkSYUxyZQkSZIkFcYkU5IkSZJUGJNMSZIkSVJhTDIlSZIkSYUxyZQkSZIkFcYkU5IkSZJUGJNMSZIkSVJhTDIlSZIkSYUxyZQkSZIkFcYkU5IkSZJUGJNMSZIkSVJhTDIlSZIkSYUxyZQkSZIkFcYkU5IkSZJUGJNMSZIkSVJhTDIlSZIkSYUxyZQkSZIkFcYkU5IkSZJUGJNMSZIkSVJhTDIlSZIkSYUxyZQkSZIkFcYkU5IkSZJUmKpMMiPi6YhIbW4vdbPsARFxf0TMi4iHIuLQctdXkiRJkpTVV7oCnTgf+Gmr+wu6KhAROwCXAL8APgvsA/wpIqanlK4tSy0lSZIkSf9TzUnmiymlf/ewzDeBm1NKny3dvyEiNga+BZhkSpIkSVKZVeVw2d6IiOHArsBFbU5dAGwXEWP7v1aSJEmSNLhUc5L54YhYEBEzI+LiiFiri+vXA4YCj7Q5/jC5nRuUo5KSJEmSpKWqdbjsX4B/A88DGwInALdExKYppZkdlBlf+jmjzfHpbc5LkiRJksqkoj2ZkdW3utUBpJQ+l1L6U0rplpTSmcCewATgQ90Im9o+TAfHiYhJEZGmTp3al2ZIkiRJkkoqPVx2Z2Bhq9t17V2UUnoAeBTYspNYLT2W49ocb7k/o524k1JKMWHChG5XWJIkSZLUsUoPl50CbN3q/qwurl+mN7KVJ8mJ6kTgplbHJwJLgMd6U0FJkiRJUvdVtCczpTQrpTS51e3R9q6LiE2At5KT0o5izQduAA5pc+pQ4PZO5nJKkiRJkgpS6Z7MZUTEvsAHgCuAqeSeyG8AzwLntLruKOBsYL2U0jOlwycBN0bEGcDlwD6l2179U3tJkiRJGtyqLskEngNWAs4gz6ecBlwNfC2l9Ear64YAdSxd2IeU0q0RcTDwHeATwFPAESmla/ul5pIkSZI0yEVKnU1zHByamprS5MmTK10NSZIkSaqIiJiSUmoqIlalV5eVJEmSJA0gJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwJpmSJEmSpMKYZEqSJEmSCmOSKUmSJEkqjEmmJEmSJKkwVZtkRsSmEXFFRMyMiFkRcWdEbNWNcgdExP0RMS8iHoqIQ/ujvpIkSZKkKk0yI2Jz4DZgBnAocAjwN6Chi3I7AJcANwB7A1cCf4qIPcpYXUmSJElSSaSUKl2HZUTEv4H/ppSO6GG5a4ChKaXdWh37OzAmpbRDR+WamprS5MmTe11fSZIkSaplETElpdRURKyq68mMiI2AbYCf9rDccGBX4KI2py4AtouIscXUUJIkSZLUkapLMskJJsD4iLgvIhZFxJMR8ZEuyq0HDAUeaXP8YXI7Nyi4npIkSZKkNuorXYF2rFL6+XvgB8BdwMHAbyPixZTS3zsoN770c0ab49PbnP+fiJgEnAAsjIj/9KHOtWYCMLXSlehHg6m9g6mtYHsHusHU3sHUVrC9A53tHbgGU1th8LV3w6ICVXROZkQEUNfqUAKOB74DnJJSOr7VtdeT51vu2EGsdwC3ApunlO5rdfwtwGPAHimlf3RQNqWUoq/tqRW2d+AaTG0F2zvQDab2Dqa2gu0d6GzvwDWY2gq2ty8qPVx2Z2Bhq9t1wOulcze0ufZ6YKNOYrX0WI5rc7zl/oxOyp7YeTUHHNs7cA2mtoLtHegGU3sHU1vB9g50tnfgGkxtBdvba5XuyRwNvLXVoVnAquQEc6+U0jWtrv0m8NmU0oodxBpeKv+ZlNKvWx0/EjgHWC6lNLPwRkiSJEmS/qfqtjCJiGHAS8BvU0pfaXX8RmBRSmn3TspeA9S1viYirgDGdbaFiSRJkiSpGFW38E9KaUFEfBv4QUTMIC/8815gJ/LwWgAi4ijgbGC9lNIzpcMnATdGxBnA5cA+pdte/VV/SZIkSRrMKj0ns10ppTPICwAdC1wJvAM4OKV0S6vLhpAXDYpW5W4lr0S7O3ANsD9wRErp2ojYNCKuiIiZETErIu6MiK26qktEHBAR90fEvIh4KCIOLaqd5RIRT0dEanN7qZtla669rUXEGaX2ntrN62umvRExLCIuioj/RsTciHg1Iq7qzuu4VL5m2goQEatGxA9LWxnNjojnIuLciJjQzfI11V6AiPhkRFwZEdNKr+NdelC2ZtobERtFxHUR0RwRUyPi2xFR141yYyPidxExvfRefl5ELN8fde6tiFg/In5deh0vLo3K6U65WmzrIRHx14h4ofQ3OyUiDu9GuZprK0BEHBwRt5X+XudFxKMR8Y3SiKzOytVke9uKiNVKz3OKiFFdXFtzbY6Io9v5LJUi4uNdlKu5traIiPqIOD4iHo+I+RHxfESc3o1yNdfmiLixg+c3RcR2nZSrubYCRMRhEXF36W/2hYj4fXc+T/WpvSmlAX8DNifP1/wjuVdzL+CbwA5dlNsBWAT8BNgV+CGwhLxSbcXb1Um9nwbOA7ZtdduyG+Vqsr2t6r8R8AYwEzh1oLUXaAAuJH/5shtwIHBTqb3rDqS2lur8buAJ8hdOuwKHkffBfRoYNdDaW6r3v4HbgfPJq23v0s1yNdNe8nZSU4F/Au8CPg7MAb7TjbJXA0+RR7e8h7xy+C2VblMXdT4AeA74M3nf5hu7Wa4W29ry2n1f6T3q1NLr+DMDra2len8M+G6pzrsCxwFzgZ8NxPa2047zydObUjfek2uuzcDRpbbtyps/T6000Nraqu5/KL0/f4w8evADwPe6Ua7m2kz+zLhtm9u1wKtA/QBr6/6l1/LPgHeWntengbuBIeV6bive8H765f4bOL8X5a4Brm9z7O/ArZVuUxf1fppuJFkDpb2t6vpP8pDpbrW/1ttbqu8oYD7wxYHWVvLK0PVtjm1QeqP84EBrb6mOQ0o/N6FnSWbNtBf4Knk18DGtjn0FaG59rJ1y25V+Jzu1Ovb20rHdK92urp7T0r8vphtJZg23dYV2jp0PPDXQ2tpJe75LXs0+BnJ7gR3JuwF8iS6SzFptM0uTzE4T6IHQ1lI99yLv9LBRD8vVbJvbtGNY6TX9y4HWVuACYEqbYy2J54blam9VDpctUkRsBGwD/LSH5YaTv726qM2pC4DtImJsMTWsDrXe3og4mLyB7MndvL6m29vKHGAe+c2xXbXa1pTSjJTSojbHHiMnIyt1VK5W2wuQUlrS0zI12N69gWtSSm+0OnYBuad+5y7KvZxSurnlQErpTvI3rHuXo6JF6M1zSu229bV2Dt9DJ3+v1GhbOzGNTt6PGQDtLQ1t/ynwbaC957ytmm9zD9RyWz9M/rLyoR6Wq+U2t7YXeaTNnzq5plbbOpQ86q21GaWfne2J2af2Dvgkk5xgAowvzYlZFBFPRsRHuii3HvlJeaTN8YfJv7cNCq5n0T4cEQtK46cvjoi1uri+ZtsbEQ3AacDxKaU53SxWy+2N0ryJVYAfAIvp/E2xZtvaVkS8DWgEOvtPcMC0t5tqrb0TaVPXlNKz5C8PJvakXMnDXZSrRQOprdvT+d9rzbc1IuoiojEidgA+S+4JSR1cXvPtJQ9xHwH8vJvX13qbnyx9dnw0Ij7WxbW13NZtgMci4mcR8UbkOfOXdmPeXi23ubXDgBeAWzq5plbbejawY0QcFRFjImID4DvADV18qdCn9g6GJHOV0s/fk+cpvos8vvi3EbFPJ+XGl37OaHN8epvz1egvwKfI466/TO7uvqWLHo1abu9XgRfJc267q5bbexx5SMuLwAeBfdLSFZbbU8tt/Z+IGAL8GHicPG+iIwOivT1Qa+0dz7J1hVzfzura23K1aEC0NSLeSZ6T2lkyMhDaOqd0u4U8T/7LnVxb0+0tLfhxEnmKxsJuFqvVNr9IXr/jSGA/4A7gVxHxhU7K1GpbIX9ePpq8jslhwIeArYDLIqKz3q5abjMAEdFIfo4v7OQLIqjRtqaUriQ/t2eSezQfJS+eelAXRfvU3qrbwqQvSn8ErVcoTCxNpH+bUvpB6d83RMSG5OTk712Ebftiiw6O97v22ptSWpxS+lyrY7dExG3AveQ3jDO6CFtT7QXWJM8J2a2LN4aOVGV7O3puS/8+hzz/dFXgk8AVEbFTN4a4VGVbocv2tvg++QuTnbv54abW29tTVdvedrRXp+jgeBHlalFNtzUi1ibPx/xLSumcLi6v6baSe2sbyXOVvkVeXOOTnVxfy+39LnBHSqmrz05t1VybU0rXkOe7t7iqND3hGxHx406GwtdcW0uidDsgpTQNICJeJH9xshtwXSdla7XNLfYjr3HR2aiwFjXX1ojYFfgV+Yv6q4CVgUnkLxB27+LzR6/bO9B6Mncm9/C03K4jT+IFuKHNtdeTV5bqSEsvwLg2x1vuz+hlHYvUXnuXkVJ6gPytxZadxKrV9p5M/oN5JCLGRcQ48ut6eOl+R9++VXt7O3xuU0ovpZQmp5T+Rn5jnEZegbUj1d5W6OK1HBGfJPcOfDCldEcXsWq+vT1UC+1tbTrL1hVgLJ3XtaNy47ooV4tquq0RsRz5fflZ8iqGnanptgKklO5OKd2aUvoRebjsJyJivQ4ur9n2RsTG5Hl7J7b6/7axdHpsaepKe2q2ze24GFgOWLuD87Xc1unA/S0JZsmtwAK6/rw8rp3j46j+Nrc4DHgipTS5i+tqta2nAX9NKR2XUroxpXQheYeCXcijTTrSp/YOqJ5MYAqwdav7s8i9Pe0J8hL/HXmS/OFvIvlbnBYTS+Ue6301C9NeezvT2bcOtdreC4HNWLbL/9Ol2xrA8+3Eqvb2duu5TSktioj7gXU7iVXtbYVO2hsR7yUvMvGV0htjV2q6vb1QC+1t7RHazOWIiDWAkbQ/96N1uR3bOT4RuLyoylWJmm1radjZFeTFb/btxjz5mm1rB+4u/VyH/LfZVi239y3k+d+3t3PueeAs4Jh2ztVymzvS0eepWm7rw8Dwdo539Xm5lttMaSrZ3uQ1LrpSq22dSJte2pTSoxExl7yuQ0f61t5KL6tb7htLlyT+QZvjNwL/7KLsNW2vIf/nWXXbAnTRjk3Ie+h9dqC1F2gifxPT+vYSOfncBRg+kNrbThtGAP8F/jDQnttSHXchr5774x6Wq8n2tqprb7YwqYn2kqcpvA6MbnXsS3R/C5MdWh1rosqXjm/Thp5uYVJTbSV/cX0leZ+5DbpZpibb2kl7Plaq+3oDrb3ACu38f3tyqe57A28daG1upy0XlF7f7e4tWMttLb0Pz6HVVkSl5/hN7RlIbS7V9Wi62Mqj1ttK/gLhT22ObViq9yHlam/FG95Pv9zPk7v7v0Ze+OdX5G9ldmx1zVHkRGytVsdaNjg/o/SH9gOqdIPzVnXel/xtxfvJ2xp8grxa1n958750A6K9HfwOnqbNPpkDob3A4eQFrI4o1fdw8kITc4EtBlJbS3XekDwc417ynKfWGyav1+q6AdHeUr2bgIOBL5TexE8o3W8aKO0lLxbwIvAPYHfgo8Bs4DttrnsCOKvNsatL72UHkYf6PEr1b4LdWHoODyb3AD3Y6n7jAGvrmaXX7WdZdpPz4QOpra3q/SVygrUHcGLptXxBq2sGTHs7+B0cTZu9JAdKm4FLyAvt7Q28G/hDqa2fGWhtLdV7DHmI++3kqThHAM8B/2hz3YBpc6u639vBuQHRVuBz5M8Ep5H/331/qd5PASPL1d6KN7wff8FfLP0yFwD3Awe1Od/yRrl2m+MHAg+QN7x/BDis0m3pop1vI8/vepU8hO4l8kIxE/6/vbt3saMK4wD8e42ioOAHIjbKokklFlubIuAfoFVQQQQVxCL5AwSxiPgZwTaw4BYB2SppAmIhWCgE8YOAYqWroHYKogtR8VicWVnW3UDizN7s5HngFntm9vK+cz+4vzv3nJljv7scg/X8N2Tu+37T59SeGx7Ti0Ofa0kemFuv2/rY6bY6t36HmlevhX7T5/d8kP4FyU/pq1Ue2LbP+ta+h7HbkryT/uXDr+kLy9y5V3VfYa9Ll3geL82s1/Vrpdeh7hPDa+63ofbPkhxLcsO2YzKLfnc5BpvvR1tD5ix6TvJK+gfqjeG96tMkT27bZxa9bqn9YPqCmL+nz8dbTXL7XHtOPzv/Z/ol8HbaPote03/y/HySC8Nj+0P658f7puy3hjsAAACA/21uq8sCAACwQEImAAAAoxEyAQAAGI2QCQAAwGiETAAAAEYjZAIAADAaIRMAAIDRCJkAcJWoqmeq6lRVna+qjapqVfXyousCgMtx/aILAAD+9VaSW5P8kuTHJPcvthwAuHzOZALA1eOxJEuttTuSOIMJwL4kZALARKrq7PCT12M7bDsxbFvZHGutvdda+25vqwSAcQmZADCdp5N8n+TNqlreHKyqh5O8kOSrJMcXVBsATELIBICJtNZ+TvJ4kgNJ1qrqlqq6K8npJBeTHG2tbSyyRgAYm5AJABNqrX2c5MUkh5KcSg+Ydyc53lr7cpG1AcAUrC4LANN7PcmRJE8Mf7/bWlvZfXcA2L+cyQSAibXWWpIzW4beXlApADA5IRMAJlZVh5KcTL/+5d9JVqrqpsVWBQDTEDIBYEJVdWOStSQ3p18H89UkD8bZTABmSsgEgGmdTLKc5I3W2vtJXkryUZLnquroQisDgAlUnyYCAIytqh5Nn4t5Psnh1tpfw/g9Sb5IX4BvubX2zTD+bJLDw78fTPJQkgtJPh/Gvm6tvbZX9QPAlRAyAWACVXVvepC8Lj1Ifrtt+yNJzib5JD2A/lFVq0meusTdfthaOzJFvQAwFiETAACA0ZiTCQAAwGiETAAAAEYjZAIAADAaIRMAAIDRCJkAAACMRsgEAABgNEImAAAAoxEyAQAAGI2QCQAAwGiETAAAAEbzD6+JX/XYidY1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 3 - Press Enter to update the members of each cluster\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 3 - Press Enter to update the centers\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 4 - Press Enter to update the members of each cluster\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 4 - Press Enter to update the centers\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "number_of_iterations = 4\n",
    "for i in range(number_of_iterations):\n",
    "    input('Iteration {} - Press Enter to update the members of each cluster'.format(i + 1))\n",
    "    colors, class_of_points = assign_members(x1, x2, centers)\n",
    "    title = 'Iteration {} - Cluster Assignment'.format(i + 1)\n",
    "    plot_points(centers, colors, figure_title=title)\n",
    "    input('Iteration {} - Press Enter to update the centers'.format(i + 1))\n",
    "    centers = update_centers(x1, x2, class_of_points)\n",
    "    title = 'Iteration {} - Centroid Update'.format(i + 1)\n",
    "    plot_points(centers, colors, figure_title=title)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now, we have visually observed how <em>k</em>-means works, let's look at an example with many more datapoints. For this example, we will use the <strong>random</strong> library to generate thousands of datapoints.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Generating the Data\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "First, we need to set up a random seed. We use the Numpy's **random.seed()** function, and we will set the seed to 0. In other words, **random.seed(0)**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Next we will be making _random clusters_ of points by using the **make_blobs** class. The **make_blobs** class can take in many inputs, but we will use these specific ones.\n",
    "\n",
    "<b> <u> Input </u> </b>\n",
    "\n",
    "<ul>\n",
    "    <li> <b>n_samples</b>: The total number of points equally divided among clusters. </li>\n",
    "    <ul> <li> Value will be: 5000 </li> </ul>\n",
    "    <li> <b>centers</b>: The number of centers to generate, or the fixed center locations. </li>\n",
    "    <ul> <li> Value will be: [[4, 4], [-2, -1], [2, -3],[1,1]] </li> </ul>\n",
    "    <li> <b>cluster_std</b>: The standard deviation of the clusters. </li>\n",
    "    <ul> <li> Value will be: 0.9 </li> </ul>\n",
    "</ul>\n",
    "\n",
    "<b> <u> Output </u> </b>\n",
    "\n",
    "<ul>\n",
    "    <li> <b>X</b>: Array of shape [n_samples, n_features]. (Feature Matrix)</li>\n",
    "    <ul> <li> The generated samples. </li> </ul> \n",
    "    <li> <b>y</b>: Array of shape [n_samples]. (Response Vector)</li>\n",
    "    <ul> <li> The integer labels for cluster membership of each sample. </li> </ul>\n",
    "</ul>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "X, y = make_blobs(n_samples=5000, centers=[[4, 4], [-2, -1], [2, -3], [1, 1]], cluster_std=0.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Display the scatter plot of the randomly generated data.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x29300ae32b0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 10))\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Setting up _k_-means\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now that we have our random data, let's set up our _k_-means clustering.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "The KMeans class has many parameters that can be used, but we will use these three:\n",
    "\n",
    "<ul>\n",
    "    <li> <strong>init</strong>: Initialization method of the centroids. </li>\n",
    "    <ul>\n",
    "        <li> Value will be: \"k-means++\". k-means++ selects initial cluster centers for <em>k</em>-means clustering in a smart way to speed up convergence.</li>\n",
    "    </ul>\n",
    "    <li> <strong>n_clusters</strong>: The number of clusters to form as well as the number of centroids to generate. </li>\n",
    "    <ul> <li> Value will be: 4 (since we have 4 centers)</li> </ul>\n",
    "    <li> <strong>n_init</strong>: Number of times the <em>k</em>-means algorithm will be run with different centroid seeds. The final results will be the best output of n_init consecutive runs in terms of inertia. </li>\n",
    "    <ul> <li> Value will be: 12 </li> </ul>\n",
    "</ul>\n",
    "\n",
    "Initialize KMeans with these parameters, where the output parameter is called **k_means**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "k_means = KMeans(init=\"k-means++\", n_clusters=4, n_init=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's fit the KMeans model with the feature matrix we created above, <b> X </b>.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=4, n_init=12)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_means.fit(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's grab the labels for each point in the model using KMeans **.labels_** attribute and save it as **k_means_labels**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 3, 3, ..., 1, 0, 0])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_means_labels = k_means.labels_\n",
    "k_means_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "We will also get the coordinates of the cluster centers using KMeans **.cluster_centers_** and save it as **k_means_cluster_centers**.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-2.03743147, -0.99782524],\n",
       "       [ 3.97334234,  3.98758687],\n",
       "       [ 0.96900523,  0.98370298],\n",
       "       [ 1.99741008, -3.01666822]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k_means_cluster_centers = k_means.cluster_centers_\n",
    "k_means_cluster_centers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Visualizing the Resulting Clusters\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "So now that we have the random data generated and the KMeans model initialized, let's plot them and see what the clusters look like.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Please read through the code and comments to understand how to plot the model.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# initialize the plot with the specified dimensions.\n",
    "fig = plt.figure(figsize=(15, 10))\n",
    "\n",
    "# colors uses a color map, which will produce an array of colors based on\n",
    "# the number of labels. We use set(k_means_labels) to get the\n",
    "# unique labels.\n",
    "colors = plt.cm.Spectral(np.linspace(0, 1, len(set(k_means_labels))))\n",
    "\n",
    "# create a plot\n",
    "ax = fig.add_subplot(1, 1, 1)\n",
    "\n",
    "# loop through the data and plot the datapoints and centroids.\n",
    "# k will range from 0-3, which will match the number of clusters in the dataset.\n",
    "for k, col in zip(range(len([[4,4], [-2, -1], [2, -3], [1, 1]])), colors):\n",
    "\n",
    "    # create a list of all datapoints, where the datapoitns that are \n",
    "    # in the cluster (ex. cluster 0) are labeled as true, else they are\n",
    "    # labeled as false.\n",
    "    my_members = (k_means_labels == k)\n",
    "    \n",
    "    # define the centroid, or cluster center.\n",
    "    cluster_center = k_means_cluster_centers[k]\n",
    "    \n",
    "    # plot the datapoints with color col.\n",
    "    ax.plot(X[my_members, 0], X[my_members, 1], 'w', markerfacecolor=col, marker='.')\n",
    "    \n",
    "    # plot the centroids with specified color, but with a darker outline\n",
    "    ax.plot(cluster_center[0], cluster_center[1], 'o', markerfacecolor=col,  markeredgecolor='k', markersize=6)\n",
    "\n",
    "# title of the plot\n",
    "ax.set_title('KMeans')\n",
    "\n",
    "# remove x-axis ticks\n",
    "ax.set_xticks(())\n",
    "\n",
    "# remove y-axis ticks\n",
    "ax.set_yticks(())\n",
    "\n",
    "# show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "<a id='item2'></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "## 2. Using _k_-means for Customer Segmentation\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Imagine that you have a customer dataset, and you are interested in exploring the behavior of your customers using their historical data.\n",
    "\n",
    "Customer segmentation is the practice of partitioning a customer base into groups of individuals that have similar characteristics. It is a significant strategy as a business can target these specific groups of customers and effectively allocate marketing resources. For example, one group might contain customers who are high-profit and low-risk, that is, more likely to purchase products, or subscribe to a service. A business task is to retain those customers. Another group might include customers from non-profit organizations, and so on.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Downloading Data\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's download the data and save it as a CSV file called **customer_segmentation.csv**\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Data downloaded!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\"wget\" no se reconoce como un comando interno o externo,\n",
      "programa o archivo por lotes ejecutable.\n"
     ]
    }
   ],
   "source": [
    "!wget -q -O 'customer_segmentation.csv' https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork/labs/customer_segmentation.csv\n",
    "print('Data downloaded!')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now that the data is downloaded, let's read it into a _pandas_ dataframe.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Customer Id</th>\n",
       "      <th>Age</th>\n",
       "      <th>Edu</th>\n",
       "      <th>Years Employed</th>\n",
       "      <th>Income</th>\n",
       "      <th>Card Debt</th>\n",
       "      <th>Other Debt</th>\n",
       "      <th>Defaulted</th>\n",
       "      <th>Address</th>\n",
       "      <th>DebtIncomeRatio</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>41</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>19</td>\n",
       "      <td>0.124</td>\n",
       "      <td>1.073</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA001</td>\n",
       "      <td>6.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>47</td>\n",
       "      <td>1</td>\n",
       "      <td>26</td>\n",
       "      <td>100</td>\n",
       "      <td>4.582</td>\n",
       "      <td>8.218</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA021</td>\n",
       "      <td>12.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>33</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>57</td>\n",
       "      <td>6.111</td>\n",
       "      <td>5.802</td>\n",
       "      <td>1.0</td>\n",
       "      <td>NBA013</td>\n",
       "      <td>20.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>29</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>19</td>\n",
       "      <td>0.681</td>\n",
       "      <td>0.516</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA009</td>\n",
       "      <td>6.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>47</td>\n",
       "      <td>1</td>\n",
       "      <td>31</td>\n",
       "      <td>253</td>\n",
       "      <td>9.308</td>\n",
       "      <td>8.908</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NBA008</td>\n",
       "      <td>7.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Customer Id  Age  Edu  Years Employed  Income  Card Debt  Other Debt  \\\n",
       "0            1   41    2               6      19      0.124       1.073   \n",
       "1            2   47    1              26     100      4.582       8.218   \n",
       "2            3   33    2              10      57      6.111       5.802   \n",
       "3            4   29    2               4      19      0.681       0.516   \n",
       "4            5   47    1              31     253      9.308       8.908   \n",
       "\n",
       "   Defaulted Address  DebtIncomeRatio  \n",
       "0        0.0  NBA001              6.3  \n",
       "1        0.0  NBA021             12.8  \n",
       "2        1.0  NBA013             20.9  \n",
       "3        0.0  NBA009              6.3  \n",
       "4        0.0  NBA008              7.2  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customers_df = pd.read_csv('customer_segmentation.csv')\n",
    "customers_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Pre-processing\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "As you can see, **Address** in this dataset is a categorical variable. k-means algorithm isn't directly applicable to categorical variables because Euclidean distance function isn't really meaningful for discrete variables. So, lets drop this feature and run clustering.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Customer Id</th>\n",
       "      <th>Age</th>\n",
       "      <th>Edu</th>\n",
       "      <th>Years Employed</th>\n",
       "      <th>Income</th>\n",
       "      <th>Card Debt</th>\n",
       "      <th>Other Debt</th>\n",
       "      <th>Defaulted</th>\n",
       "      <th>DebtIncomeRatio</th>\n",
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       "      <td>19</td>\n",
       "      <td>0.124</td>\n",
       "      <td>1.073</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.3</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
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       "      <td>4.582</td>\n",
       "      <td>8.218</td>\n",
       "      <td>0.0</td>\n",
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       "      <td>57</td>\n",
       "      <td>6.111</td>\n",
       "      <td>5.802</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.9</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>29</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>19</td>\n",
       "      <td>0.681</td>\n",
       "      <td>0.516</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>47</td>\n",
       "      <td>1</td>\n",
       "      <td>31</td>\n",
       "      <td>253</td>\n",
       "      <td>9.308</td>\n",
       "      <td>8.908</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Customer Id  Age  Edu  Years Employed  Income  Card Debt  Other Debt  \\\n",
       "0            1   41    2               6      19      0.124       1.073   \n",
       "1            2   47    1              26     100      4.582       8.218   \n",
       "2            3   33    2              10      57      6.111       5.802   \n",
       "3            4   29    2               4      19      0.681       0.516   \n",
       "4            5   47    1              31     253      9.308       8.908   \n",
       "\n",
       "   Defaulted  DebtIncomeRatio  \n",
       "0        0.0              6.3  \n",
       "1        0.0             12.8  \n",
       "2        1.0             20.9  \n",
       "3        0.0              6.3  \n",
       "4        0.0              7.2  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = customers_df.drop('Address', axis=1)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's normalize the dataset. But why do we need normalization in the first place? Normalization is a statistical method that helps mathematical-based algorithms interpret features with different magnitudes and distributions equally. We use **StandardScaler()** to normalize our dataset.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.74291541,  0.31212243, -0.37878978, ..., -0.59048916,\n",
       "        -0.52379654, -0.57652509],\n",
       "       [ 1.48949049, -0.76634938,  2.5737211 , ...,  1.51296181,\n",
       "        -0.52379654,  0.39138677],\n",
       "       [-0.25251804,  0.31212243,  0.2117124 , ...,  0.80170393,\n",
       "         1.90913822,  1.59755385],\n",
       "       ...,\n",
       "       [-1.24795149,  2.46906604, -1.26454304, ...,  0.03863257,\n",
       "         1.90913822,  3.45892281],\n",
       "       [-0.37694723, -0.76634938,  0.50696349, ..., -0.70147601,\n",
       "        -0.52379654, -1.08281745],\n",
       "       [ 2.1116364 , -0.76634938,  1.09746566, ...,  0.16463355,\n",
       "        -0.52379654, -0.2340332 ]])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "X = df.values[:,1:]\n",
    "X = np.nan_to_num(X)\n",
    "cluster_dataset = StandardScaler().fit_transform(X)\n",
    "cluster_dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "### Modeling\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's run our model and group our customers into three clusters.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1 0 2 1 0 0 1 1 1 0 2 1 1 1 2 1 1 1 0 1 1 1 2 0 0 1 1 1 1 1 1 0 2 1 1 1 2\n",
      " 2 1 0 2 0 1 0 1 0 1 1 1 1 0 0 2 1 2 2 2 1 1 1 0 1 0 0 1 1 1 2 1 2 1 1 1 1\n",
      " 1 1 1 1 0 1 1 2 0 1 0 1 1 1 2 2 1 1 2 2 1 1 1 1 2 1 2 0 1 2 2 0 1 1 1 1 1\n",
      " 1 1 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 0 1 1 2\n",
      " 1 1 1 0 2 1 1 1 1 0 2 2 1 0 1 1 1 1 1 1 1 1 0 1 1 2 1 2 1 1 2 0 2 1 1 0 2\n",
      " 0 1 1 1 1 1 0 1 2 1 1 1 0 0 1 0 1 2 1 1 2 1 0 1 2 1 1 1 1 1 2 2 0 1 1 2 0\n",
      " 1 1 1 1 0 1 1 2 1 1 1 1 0 1 1 2 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 2 1 2 1\n",
      " 1 1 0 1 2 0 2 1 0 1 1 2 1 1 1 1 2 2 2 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 2 1 1\n",
      " 2 1 2 0 1 1 1 1 2 1 1 2 2 1 1 1 1 1 1 1 1 2 1 2 0 1 2 1 1 1 2 2 1 1 1 0 2\n",
      " 1 1 2 1 0 1 1 1 1 1 2 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 2 1 2 1 1 1 0 0 1\n",
      " 2 1 0 2 2 1 1 1 2 1 1 1 1 1 0 1 0 1 1 1 1 2 1 2 1 1 1 0 1 1 1 1 2 1 1 2 2\n",
      " 0 1 1 1 1 1 2 2 1 0 2 0 1 1 2 1 1 0 0 1 2 1 1 0 1 2 1 0 1 1 1 0 1 1 1 1 0\n",
      " 1 2 1 1 1 1 0 2 1 1 0 1 2 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 2 1 1 1 2 1\n",
      " 2 1 1 1 1 1 0 2 2 1 0 1 0 1 1 2 0 1 2 2 2 0 0 2 1 1 2 1 2 2 1 2 0 1 1 2 1\n",
      " 2 0 2 1 1 2 1 1 2 2 2 1 1 1 0 0 1 1 2 1 1 2 0 1 2 1 1 1 2 1 0 1 0 0 1 0 1\n",
      " 1 0 1 2 1 1 1 1 2 2 1 0 1 0 1 1 0 1 2 1 2 1 2 2 2 0 2 1 1 1 2 1 1 1 0 1 0\n",
      " 1 2 2 1 1 1 1 1 1 1 2 0 1 0 1 1 2 1 1 1 2 1 1 2 2 2 2 1 0 1 2 2 1 1 1 1 0\n",
      " 0 1 2 1 1 0 1 1 0 1 0 1 1 0 2 0 0 0 2 1 1 2 1 0 0 1 1 1 0 2 1 1 1 1 0 1 1\n",
      " 1 1 1 2 1 1 0 1 1 0 1 1 1 1 1 1 2 0 1 1 2 1 1 1 1 2 1 0 1 1 0 1 1 2 1 2 1\n",
      " 2 2 1 1 1 0 2 0 1 0 0 1 2 1 0 1 0 1 1 1 1 1 0 1 2 1 1 0 0 1 1 0 1 1 1 1 1\n",
      " 1 1 1 2 1 1 0 1 1 1 1 1 1 1 2 1 1 1 0 2 0 0 1 1 1 2 1 1 1 2 2 1 2 1 1 1 0\n",
      " 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 2 2 1 2 1 1 1 1 0 2 1 1 1 1 1 0 2 1 1 1 2\n",
      " 1 1 2 1 1 1 1 1 1 2 2 0 0 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0]\n"
     ]
    }
   ],
   "source": [
    "num_clusters = 3\n",
    "\n",
    "k_means = KMeans(init=\"k-means++\", n_clusters=num_clusters, n_init=12)\n",
    "k_means.fit(cluster_dataset)\n",
    "labels = k_means.labels_\n",
    "\n",
    "print(labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h2 id=\"insights\">Insights</h2>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Note that each row in our dataset represents a customer, and therefore, each row is assigned a label.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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      ],
      "text/plain": [
       "   Customer Id  Age  Edu  Years Employed  Income  Card Debt  Other Debt  \\\n",
       "0            1   41    2               6      19      0.124       1.073   \n",
       "1            2   47    1              26     100      4.582       8.218   \n",
       "2            3   33    2              10      57      6.111       5.802   \n",
       "3            4   29    2               4      19      0.681       0.516   \n",
       "4            5   47    1              31     253      9.308       8.908   \n",
       "\n",
       "   Defaulted  DebtIncomeRatio  Labels  \n",
       "0        0.0              6.3       1  \n",
       "1        0.0             12.8       0  \n",
       "2        1.0             20.9       2  \n",
       "3        0.0              6.3       1  \n",
       "4        0.0              7.2       0  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"Labels\"] = labels\n",
    "df.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "We can easily check the centroid values by averaging the features in each cluster.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
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       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>424.408163</td>\n",
       "      <td>43.000000</td>\n",
       "      <td>1.931973</td>\n",
       "      <td>17.197279</td>\n",
       "      <td>101.959184</td>\n",
       "      <td>4.220673</td>\n",
       "      <td>7.954483</td>\n",
       "      <td>0.162393</td>\n",
       "      <td>13.915646</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>426.122905</td>\n",
       "      <td>33.817505</td>\n",
       "      <td>1.603352</td>\n",
       "      <td>7.625698</td>\n",
       "      <td>36.143389</td>\n",
       "      <td>0.853128</td>\n",
       "      <td>1.816855</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.964991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>424.451807</td>\n",
       "      <td>31.891566</td>\n",
       "      <td>1.861446</td>\n",
       "      <td>3.963855</td>\n",
       "      <td>31.789157</td>\n",
       "      <td>1.576675</td>\n",
       "      <td>2.843355</td>\n",
       "      <td>0.993939</td>\n",
       "      <td>13.994578</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Customer Id        Age       Edu  Years Employed      Income  \\\n",
       "Labels                                                                 \n",
       "0        424.408163  43.000000  1.931973       17.197279  101.959184   \n",
       "1        426.122905  33.817505  1.603352        7.625698   36.143389   \n",
       "2        424.451807  31.891566  1.861446        3.963855   31.789157   \n",
       "\n",
       "        Card Debt  Other Debt  Defaulted  DebtIncomeRatio  \n",
       "Labels                                                     \n",
       "0        4.220673    7.954483   0.162393        13.915646  \n",
       "1        0.853128    1.816855   0.000000         7.964991  \n",
       "2        1.576675    2.843355   0.993939        13.994578  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.groupby('Labels').mean()"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "<em>k</em>-means will partition your customers into three groups since we specified the algorithm to generate 3 clusters. The customers in each cluster are similar to each other in terms of the features included in the dataset.\n",
    "\n",
    "Now we can create a profile for each group, considering the common characteristics of each cluster. \n",
    "For example, the 3 clusters can be:\n",
    "\n",
    "-   OLDER, HIGH INCOME, AND INDEBTED\n",
    "-   MIDDLE AGED, MIDDLE INCOME, AND FINANCIALLY RESPONSIBLE\n",
    "-   YOUNG, LOW INCOME, AND INDEBTED\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, you can devise your own profiles based on the means above and come up with labels that you think best describe each cluster.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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   },
   "source": [
    "I hope that you are able to see the power of _k_-means here. This clustering algorithm provided us with insight into the dataset and lead us to group the data into three clusters. Perhaps the same results would have been achieved but using multiple tests and experiments.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "### Thank you for completing this lab!\n",
    "\n",
    "This notebook was created by [Saeed Aghabozorgi](https://ca.linkedin.com/in/saeedaghabozorgi?cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ&cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ) and [Alex Aklson](https://www.linkedin.com/in/aklson?cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ&cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ). We hope you found this lab interesting and educational. Feel free to contact us if you have any questions!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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   },
   "source": [
    "This notebook is part of a course on **Coursera** called _Applied Data Science Capstone_. If you accessed this notebook outside the course, you can take this course online by clicking [here](http://cocl.us/DP0701EN_Coursera_Week3_LAB1).\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
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   },
   "source": [
    "<hr>\n",
    "\n",
    "Copyright © 2018 [Cognitive Class](https://cognitiveclass.ai?utm_source=bducopyrightlink&utm_medium=dswb&utm_campaign=bdu&cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ&cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ&cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ&cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ). This notebook and its source code are released under the terms of the [MIT License](https://bigdatauniversity.com/mit-license?cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ&cm_mmc=Email_Newsletter-_-Developer_Ed%2BTech-_-WW_WW-_-SkillsNetwork-Courses-IBMDeveloperSkillsNetwork-DS0701EN-SkillsNetwork-21253531&cm_mmca1=000026UJ&cm_mmca2=10006555&cm_mmca3=M12345678&cvosrc=email.Newsletter.M12345678&cvo_campaign=000026UJ).\n"
   ]
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